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Finding the Third Proportional to 177,984 and 267,732

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Solution

The third proportional to 177,984 and 267,732 is: 402,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,984 : 267,732 = 267,732 : x
  2. Step 2: Convert to fraction form
    177,984/267,732 = 267,732/x
  3. Step 3: Cross multiply
    177,984x = 267,732 × 267,732
  4. Step 4: Simplify right side
    177,984x = 71,680,423,824
  5. Step 5: Solve for x
    x = 71,680,423,824/177,984
  6. Step 6: Final answer
    x = 402,735.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.