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Finding the Third Proportional to 176,110.88 and 267,532.88

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Solution

The third proportional to 176,110.88 and 267,532.88 is: 406,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,110.88 : 267,532.88 = 267,532.88 : x
  2. Step 2: Convert to fraction form
    176,110.88/267,532.88 = 267,532.88/x
  3. Step 3: Cross multiply
    176,110.88x = 267,532.88 × 267,532.88
  4. Step 4: Simplify right side
    176,110.88x = 71,573,839,205.77
  5. Step 5: Solve for x
    x = 71,573,839,205.77/176,110.88
  6. Step 6: Final answer
    x = 406,413.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.