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Finding the Third Proportional to 181,885 and 396,809

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Solution

The third proportional to 181,885 and 396,809 is: 865,697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,885 : 396,809 = 396,809 : x
  2. Step 2: Convert to fraction form
    181,885/396,809 = 396,809/x
  3. Step 3: Cross multiply
    181,885x = 396,809 × 396,809
  4. Step 4: Simplify right side
    181,885x = 157,457,382,481
  5. Step 5: Solve for x
    x = 157,457,382,481/181,885
  6. Step 6: Final answer
    x = 865,697.46

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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.