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Finding the Third Proportional to 181,048 and 273,902

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Solution

The third proportional to 181,048 and 273,902 is: 414,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,048 : 273,902 = 273,902 : x
  2. Step 2: Convert to fraction form
    181,048/273,902 = 273,902/x
  3. Step 3: Cross multiply
    181,048x = 273,902 × 273,902
  4. Step 4: Simplify right side
    181,048x = 75,022,305,604
  5. Step 5: Solve for x
    x = 75,022,305,604/181,048
  6. Step 6: Final answer
    x = 414,377.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.