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Finding the Third Proportional to 177,072.75 and 267,091.69

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Solution

The third proportional to 177,072.75 and 267,091.69 is: 402,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,072.75 : 267,091.69 = 267,091.69 : x
  2. Step 2: Convert to fraction form
    177,072.75/267,091.69 = 267,091.69/x
  3. Step 3: Cross multiply
    177,072.75x = 267,091.69 × 267,091.69
  4. Step 4: Simplify right side
    177,072.75x = 71,337,969,531.60
  5. Step 5: Solve for x
    x = 71,337,969,531.60/177,072.75
  6. Step 6: Final answer
    x = 402,873.79

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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.