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Finding the Third Proportional to 172,380 and 267,534

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Solution

The third proportional to 172,380 and 267,534 is: 415,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,380 : 267,534 = 267,534 : x
  2. Step 2: Convert to fraction form
    172,380/267,534 = 267,534/x
  3. Step 3: Cross multiply
    172,380x = 267,534 × 267,534
  4. Step 4: Simplify right side
    172,380x = 71,574,441,156
  5. Step 5: Solve for x
    x = 71,574,441,156/172,380
  6. Step 6: Final answer
    x = 415,213.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.