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Finding the Third Proportional to 224,666 and 337,911

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Solution

The third proportional to 224,666 and 337,911 is: 508,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,666 : 337,911 = 337,911 : x
  2. Step 2: Convert to fraction form
    224,666/337,911 = 337,911/x
  3. Step 3: Cross multiply
    224,666x = 337,911 × 337,911
  4. Step 4: Simplify right side
    224,666x = 114,183,843,921
  5. Step 5: Solve for x
    x = 114,183,843,921/224,666
  6. Step 6: Final answer
    x = 508,238.20

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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.