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Finding the Third Proportional to 129,404 and 284,872

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Solution

The third proportional to 129,404 and 284,872 is: 627,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,404 : 284,872 = 284,872 : x
  2. Step 2: Convert to fraction form
    129,404/284,872 = 284,872/x
  3. Step 3: Cross multiply
    129,404x = 284,872 × 284,872
  4. Step 4: Simplify right side
    129,404x = 81,152,056,384
  5. Step 5: Solve for x
    x = 81,152,056,384/129,404
  6. Step 6: Final answer
    x = 627,121.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.