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Finding the Third Proportional to 181,953 and 267,727

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Solution

The third proportional to 181,953 and 267,727 is: 393,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,953 : 267,727 = 267,727 : x
  2. Step 2: Convert to fraction form
    181,953/267,727 = 267,727/x
  3. Step 3: Cross multiply
    181,953x = 267,727 × 267,727
  4. Step 4: Simplify right side
    181,953x = 71,677,746,529
  5. Step 5: Solve for x
    x = 71,677,746,529/181,953
  6. Step 6: Final answer
    x = 393,935.50

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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.