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Finding the Third Proportional to 168,934 and 267,477

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Solution

The third proportional to 168,934 and 267,477 is: 423,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,934 : 267,477 = 267,477 : x
  2. Step 2: Convert to fraction form
    168,934/267,477 = 267,477/x
  3. Step 3: Cross multiply
    168,934x = 267,477 × 267,477
  4. Step 4: Simplify right side
    168,934x = 71,543,945,529
  5. Step 5: Solve for x
    x = 71,543,945,529/168,934
  6. Step 6: Final answer
    x = 423,502.35

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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.