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Finding the Third Proportional to 181,860 and 396,762

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Solution

The third proportional to 181,860 and 396,762 is: 865,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,860 : 396,762 = 396,762 : x
  2. Step 2: Convert to fraction form
    181,860/396,762 = 396,762/x
  3. Step 3: Cross multiply
    181,860x = 396,762 × 396,762
  4. Step 4: Simplify right side
    181,860x = 157,420,084,644
  5. Step 5: Solve for x
    x = 157,420,084,644/181,860
  6. Step 6: Final answer
    x = 865,611.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.