$$ 3.75 \div 1.25 $$ is equivalent to $$ 375 \div 125 $$. The dividend and divisor were both multiplied by $$ \square $$.

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The value of $$ \square $$ is 100. To determine the value of $$ \square $$ that was used to multiply both the dividend and the divisor in the equation $$ 3.75 \div 1.25 $$ to obtain $$ 375 \div 125 $$, we can analyze the relationship between the two pairs of numbers. We can express the relationship as follows: $$ 3.75 \times \square = 375 $$ $$ 1.25 \times \square = 125 $$ Now, we can solve for $$ \square $$ using either equation. Let's use the first equation: $$ \square = \frac{375}{3.75} $$ Calculating this gives: $$ \square = \frac{375}{3.75} = 100 $$ Now, let's verify this with the second equation: $$ \square = \frac{125}{1.25} $$ Calculating this gives: $$ \square = \frac{125}{1.25} = 100 $$ Both calculations confirm that $$ \square = 100 $$. Thus, the value of $$ \square $$ is $$ \boxed{100} $$.

\( 3.75 \div 1.25 \) is equivalent to \( 375 \div 125 \). The dividend and divisor were both multiplied by \( \square \).

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\( 3.75 \div 1.25 \) is equivalent to \( 375 \div 125 \). The dividend and divisor were both multiplied by \( \square \).

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