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Finding the Third Proportional to 223,691 and 338,793

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Solution

The third proportional to 223,691 and 338,793 is: 513,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,691 : 338,793 = 338,793 : x
  2. Step 2: Convert to fraction form
    223,691/338,793 = 338,793/x
  3. Step 3: Cross multiply
    223,691x = 338,793 × 338,793
  4. Step 4: Simplify right side
    223,691x = 114,780,696,849
  5. Step 5: Solve for x
    x = 114,780,696,849/223,691
  6. Step 6: Final answer
    x = 513,121.66

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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.