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Finding the Third Proportional to 168,851 and 267,371

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Solution

The third proportional to 168,851 and 267,371 is: 423,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,851 : 267,371 = 267,371 : x
  2. Step 2: Convert to fraction form
    168,851/267,371 = 267,371/x
  3. Step 3: Cross multiply
    168,851x = 267,371 × 267,371
  4. Step 4: Simplify right side
    168,851x = 71,487,251,641
  5. Step 5: Solve for x
    x = 71,487,251,641/168,851
  6. Step 6: Final answer
    x = 423,374.76

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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.