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Finding the Third Proportional to 168,192 and 267,464

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Solution

The third proportional to 168,192 and 267,464 is: 425,329.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,192 : 267,464 = 267,464 : x
  2. Step 2: Convert to fraction form
    168,192/267,464 = 267,464/x
  3. Step 3: Cross multiply
    168,192x = 267,464 × 267,464
  4. Step 4: Simplify right side
    168,192x = 71,536,991,296
  5. Step 5: Solve for x
    x = 71,536,991,296/168,192
  6. Step 6: Final answer
    x = 425,329.33

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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.