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Finding the Third Proportional to 224,670 and 337,917

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Solution

The third proportional to 224,670 and 337,917 is: 508,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,670 : 337,917 = 337,917 : x
  2. Step 2: Convert to fraction form
    224,670/337,917 = 337,917/x
  3. Step 3: Cross multiply
    224,670x = 337,917 × 337,917
  4. Step 4: Simplify right side
    224,670x = 114,187,898,889
  5. Step 5: Solve for x
    x = 114,187,898,889/224,670
  6. Step 6: Final answer
    x = 508,247.20

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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.