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Finding the Third Proportional to 181,950 and 267,723

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Solution

The third proportional to 181,950 and 267,723 is: 393,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,950 : 267,723 = 267,723 : x
  2. Step 2: Convert to fraction form
    181,950/267,723 = 267,723/x
  3. Step 3: Cross multiply
    181,950x = 267,723 × 267,723
  4. Step 4: Simplify right side
    181,950x = 71,675,604,729
  5. Step 5: Solve for x
    x = 71,675,604,729/181,950
  6. Step 6: Final answer
    x = 393,930.23

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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.