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Finding the Third Proportional to 224,256 and 337,320

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Solution

The third proportional to 224,256 and 337,320 is: 507,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,256 : 337,320 = 337,320 : x
  2. Step 2: Convert to fraction form
    224,256/337,320 = 337,320/x
  3. Step 3: Cross multiply
    224,256x = 337,320 × 337,320
  4. Step 4: Simplify right side
    224,256x = 113,784,782,400
  5. Step 5: Solve for x
    x = 113,784,782,400/224,256
  6. Step 6: Final answer
    x = 507,387.91

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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.