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Finding the Third Proportional to 168,898 and 267,431

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Solution

The third proportional to 168,898 and 267,431 is: 423,446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,898 : 267,431 = 267,431 : x
  2. Step 2: Convert to fraction form
    168,898/267,431 = 267,431/x
  3. Step 3: Cross multiply
    168,898x = 267,431 × 267,431
  4. Step 4: Simplify right side
    168,898x = 71,519,339,761
  5. Step 5: Solve for x
    x = 71,519,339,761/168,898
  6. Step 6: Final answer
    x = 423,446.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.