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Finding the Third Proportional to 177,347 and 267,861

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Solution

The third proportional to 177,347 and 267,861 is: 404,571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,347 : 267,861 = 267,861 : x
  2. Step 2: Convert to fraction form
    177,347/267,861 = 267,861/x
  3. Step 3: Cross multiply
    177,347x = 267,861 × 267,861
  4. Step 4: Simplify right side
    177,347x = 71,749,515,321
  5. Step 5: Solve for x
    x = 71,749,515,321/177,347
  6. Step 6: Final answer
    x = 404,571.35

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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.