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Finding the Third Proportional to 177,358 and 267,873

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Solution

The third proportional to 177,358 and 267,873 is: 404,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,358 : 267,873 = 267,873 : x
  2. Step 2: Convert to fraction form
    177,358/267,873 = 267,873/x
  3. Step 3: Cross multiply
    177,358x = 267,873 × 267,873
  4. Step 4: Simplify right side
    177,358x = 71,755,944,129
  5. Step 5: Solve for x
    x = 71,755,944,129/177,358
  6. Step 6: Final answer
    x = 404,582.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.