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Finding the Third Proportional to 224,664 and 337,908

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Solution

The third proportional to 224,664 and 337,908 is: 508,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,664 : 337,908 = 337,908 : x
  2. Step 2: Convert to fraction form
    224,664/337,908 = 337,908/x
  3. Step 3: Cross multiply
    224,664x = 337,908 × 337,908
  4. Step 4: Simplify right side
    224,664x = 114,181,816,464
  5. Step 5: Solve for x
    x = 114,181,816,464/224,664
  6. Step 6: Final answer
    x = 508,233.70

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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.