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Finding the Third Proportional to 150,517.13 and 206,397.56

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Solution

The third proportional to 150,517.13 and 206,397.56 is: 283,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,517.13 : 206,397.56 = 206,397.56 : x
  2. Step 2: Convert to fraction form
    150,517.13/206,397.56 = 206,397.56/x
  3. Step 3: Cross multiply
    150,517.13x = 206,397.56 × 206,397.56
  4. Step 4: Simplify right side
    150,517.13x = 42,599,953,805.94
  5. Step 5: Solve for x
    x = 42,599,953,805.94/150,517.13
  6. Step 6: Final answer
    x = 283,023.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.