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Finding the Third Proportional to 224,272 and 337,350

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Solution

The third proportional to 224,272 and 337,350 is: 507,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,272 : 337,350 = 337,350 : x
  2. Step 2: Convert to fraction form
    224,272/337,350 = 337,350/x
  3. Step 3: Cross multiply
    224,272x = 337,350 × 337,350
  4. Step 4: Simplify right side
    224,272x = 113,805,022,500
  5. Step 5: Solve for x
    x = 113,805,022,500/224,272
  6. Step 6: Final answer
    x = 507,441.96

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