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Finding the Third Proportional to 183,891 and 396,811

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Solution

The third proportional to 183,891 and 396,811 is: 856,262.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,891 : 396,811 = 396,811 : x
  2. Step 2: Convert to fraction form
    183,891/396,811 = 396,811/x
  3. Step 3: Cross multiply
    183,891x = 396,811 × 396,811
  4. Step 4: Simplify right side
    183,891x = 157,458,969,721
  5. Step 5: Solve for x
    x = 157,458,969,721/183,891
  6. Step 6: Final answer
    x = 856,262.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.