Finding the Third Proportional to 100,308 and 152,432
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Solution
The third proportional to 100,308 and 152,432 is: 231,641.69
Step by Step Solution
- Step 1: Write the proportion equation
100,308 : 152,432 = 152,432 : x - Step 2: Convert to fraction form
100,308/152,432 = 152,432/x - Step 3: Cross multiply
100,308x = 152,432 × 152,432 - Step 4: Simplify right side
100,308x = 23,235,514,624 - Step 5: Solve for x
x = 23,235,514,624/100,308 - Step 6: Final answer
x = 231,641.69
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.