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Finding the Third Proportional to 182,380 and 267,270

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Solution

The third proportional to 182,380 and 267,270 is: 391,672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,380 : 267,270 = 267,270 : x
  2. Step 2: Convert to fraction form
    182,380/267,270 = 267,270/x
  3. Step 3: Cross multiply
    182,380x = 267,270 × 267,270
  4. Step 4: Simplify right side
    182,380x = 71,433,252,900
  5. Step 5: Solve for x
    x = 71,433,252,900/182,380
  6. Step 6: Final answer
    x = 391,672.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.