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Finding the Third Proportional to 177,333.05 and 267,839.16

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Solution

The third proportional to 177,333.05 and 267,839.16 is: 404,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,333.05 : 267,839.16 = 267,839.16 : x
  2. Step 2: Convert to fraction form
    177,333.05/267,839.16 = 267,839.16/x
  3. Step 3: Cross multiply
    177,333.05x = 267,839.16 × 267,839.16
  4. Step 4: Simplify right side
    177,333.05x = 71,737,813,620.71
  5. Step 5: Solve for x
    x = 71,737,813,620.71/177,333.05
  6. Step 6: Final answer
    x = 404,537.20

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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.