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Finding the Third Proportional to 168,185.81 and 267,451.31

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Solution

The third proportional to 168,185.81 and 267,451.31 is: 425,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,185.81 : 267,451.31 = 267,451.31 : x
  2. Step 2: Convert to fraction form
    168,185.81/267,451.31 = 267,451.31/x
  3. Step 3: Cross multiply
    168,185.81x = 267,451.31 × 267,451.31
  4. Step 4: Simplify right side
    168,185.81x = 71,530,204,557.97
  5. Step 5: Solve for x
    x = 71,530,204,557.97/168,185.81
  6. Step 6: Final answer
    x = 425,304.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.