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Finding the Third Proportional to 142,724 and 337,531

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Solution

The third proportional to 142,724 and 337,531 is: 798,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,724 : 337,531 = 337,531 : x
  2. Step 2: Convert to fraction form
    142,724/337,531 = 337,531/x
  3. Step 3: Cross multiply
    142,724x = 337,531 × 337,531
  4. Step 4: Simplify right side
    142,724x = 113,927,175,961
  5. Step 5: Solve for x
    x = 113,927,175,961/142,724
  6. Step 6: Final answer
    x = 798,234.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.