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Finding the Third Proportional to 172,226.25 and 267,330.38

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Solution

The third proportional to 172,226.25 and 267,330.38 is: 414,951.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,226.25 : 267,330.38 = 267,330.38 : x
  2. Step 2: Convert to fraction form
    172,226.25/267,330.38 = 267,330.38/x
  3. Step 3: Cross multiply
    172,226.25x = 267,330.38 × 267,330.38
  4. Step 4: Simplify right side
    172,226.25x = 71,465,529,397.64
  5. Step 5: Solve for x
    x = 71,465,529,397.64/172,226.25
  6. Step 6: Final answer
    x = 414,951.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.