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Finding the Third Proportional to 172,937 and 224,413

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Solution

The third proportional to 172,937 and 224,413 is: 291,211.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,937 : 224,413 = 224,413 : x
  2. Step 2: Convert to fraction form
    172,937/224,413 = 224,413/x
  3. Step 3: Cross multiply
    172,937x = 224,413 × 224,413
  4. Step 4: Simplify right side
    172,937x = 50,361,194,569
  5. Step 5: Solve for x
    x = 50,361,194,569/172,937
  6. Step 6: Final answer
    x = 291,211.22

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.