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Finding the Third Proportional to 170,363.25 and 267,286.71

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Solution

The third proportional to 170,363.25 and 267,286.71 is: 419,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,363.25 : 267,286.71 = 267,286.71 : x
  2. Step 2: Convert to fraction form
    170,363.25/267,286.71 = 267,286.71/x
  3. Step 3: Cross multiply
    170,363.25x = 267,286.71 × 267,286.71
  4. Step 4: Simplify right side
    170,363.25x = 71,442,185,843.79
  5. Step 5: Solve for x
    x = 71,442,185,843.79/170,363.25
  6. Step 6: Final answer
    x = 419,352.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.