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Finding the Third Proportional to 182,007 and 267,057

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Solution

The third proportional to 182,007 and 267,057 is: 391,849.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,007 : 267,057 = 267,057 : x
  2. Step 2: Convert to fraction form
    182,007/267,057 = 267,057/x
  3. Step 3: Cross multiply
    182,007x = 267,057 × 267,057
  4. Step 4: Simplify right side
    182,007x = 71,319,441,249
  5. Step 5: Solve for x
    x = 71,319,441,249/182,007
  6. Step 6: Final answer
    x = 391,849.99

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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.