Finding the Third Proportional to 202,712 and 285,139
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Solution
The third proportional to 202,712 and 285,139 is: 401,082.57
Step by Step Solution
- Step 1: Write the proportion equation
202,712 : 285,139 = 285,139 : x - Step 2: Convert to fraction form
202,712/285,139 = 285,139/x - Step 3: Cross multiply
202,712x = 285,139 × 285,139 - Step 4: Simplify right side
202,712x = 81,304,249,321 - Step 5: Solve for x
x = 81,304,249,321/202,712 - Step 6: Final answer
x = 401,082.57
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.