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Finding the Third Proportional to 152,931 and 329,460

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Solution

The third proportional to 152,931 and 329,460 is: 709,757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,931 : 329,460 = 329,460 : x
  2. Step 2: Convert to fraction form
    152,931/329,460 = 329,460/x
  3. Step 3: Cross multiply
    152,931x = 329,460 × 329,460
  4. Step 4: Simplify right side
    152,931x = 108,543,891,600
  5. Step 5: Solve for x
    x = 108,543,891,600/152,931
  6. Step 6: Final answer
    x = 709,757.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.