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Finding the Third Proportional to 224,272 and 337,344

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Solution

The third proportional to 224,272 and 337,344 is: 507,423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,272 : 337,344 = 337,344 : x
  2. Step 2: Convert to fraction form
    224,272/337,344 = 337,344/x
  3. Step 3: Cross multiply
    224,272x = 337,344 × 337,344
  4. Step 4: Simplify right side
    224,272x = 113,800,974,336
  5. Step 5: Solve for x
    x = 113,800,974,336/224,272
  6. Step 6: Final answer
    x = 507,423.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.