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Finding the Third Proportional to 181,949 and 267,721.50

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Solution

The third proportional to 181,949 and 267,721.50 is: 393,927.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,949 : 267,721.50 = 267,721.50 : x
  2. Step 2: Convert to fraction form
    181,949/267,721.50 = 267,721.50/x
  3. Step 3: Cross multiply
    181,949x = 267,721.50 × 267,721.50
  4. Step 4: Simplify right side
    181,949x = 71,674,801,562.25
  5. Step 5: Solve for x
    x = 71,674,801,562.25/181,949
  6. Step 6: Final answer
    x = 393,927.98

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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.