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Finding the Third Proportional to 177,435 and 267,996

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Solution

The third proportional to 177,435 and 267,996 is: 404,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,435 : 267,996 = 267,996 : x
  2. Step 2: Convert to fraction form
    177,435/267,996 = 267,996/x
  3. Step 3: Cross multiply
    177,435x = 267,996 × 267,996
  4. Step 4: Simplify right side
    177,435x = 71,821,856,016
  5. Step 5: Solve for x
    x = 71,821,856,016/177,435
  6. Step 6: Final answer
    x = 404,778.40

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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.