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Finding the Third Proportional to 150,517.13 and 206,398.69

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Solution

The third proportional to 150,517.13 and 206,398.69 is: 283,027.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,517.13 : 206,398.69 = 206,398.69 : x
  2. Step 2: Convert to fraction form
    150,517.13/206,398.69 = 206,398.69/x
  3. Step 3: Cross multiply
    150,517.13x = 206,398.69 × 206,398.69
  4. Step 4: Simplify right side
    150,517.13x = 42,600,418,201.72
  5. Step 5: Solve for x
    x = 42,600,418,201.72/150,517.13
  6. Step 6: Final answer
    x = 283,027.05

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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.