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Finding the Third Proportional to 224,804 and 338,691

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Solution

The third proportional to 224,804 and 338,691 is: 510,273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,804 : 338,691 = 338,691 : x
  2. Step 2: Convert to fraction form
    224,804/338,691 = 338,691/x
  3. Step 3: Cross multiply
    224,804x = 338,691 × 338,691
  4. Step 4: Simplify right side
    224,804x = 114,711,593,481
  5. Step 5: Solve for x
    x = 114,711,593,481/224,804
  6. Step 6: Final answer
    x = 510,273.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.