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Finding the Third Proportional to 177,072.88 and 267,091.75

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Solution

The third proportional to 177,072.88 and 267,091.75 is: 402,873.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,072.88 : 267,091.75 = 267,091.75 : x
  2. Step 2: Convert to fraction form
    177,072.88/267,091.75 = 267,091.75/x
  3. Step 3: Cross multiply
    177,072.88x = 267,091.75 × 267,091.75
  4. Step 4: Simplify right side
    177,072.88x = 71,338,002,918.06
  5. Step 5: Solve for x
    x = 71,338,002,918.06/177,072.88
  6. Step 6: Final answer
    x = 402,873.69

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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.