Finding the Third Proportional to 152,612 and 233,454
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Solution
The third proportional to 152,612 and 233,454 is: 357,119.82
Step by Step Solution
- Step 1: Write the proportion equation
152,612 : 233,454 = 233,454 : x - Step 2: Convert to fraction form
152,612/233,454 = 233,454/x - Step 3: Cross multiply
152,612x = 233,454 × 233,454 - Step 4: Simplify right side
152,612x = 54,500,770,116 - Step 5: Solve for x
x = 54,500,770,116/152,612 - Step 6: Final answer
x = 357,119.82
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.