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Finding the Third Proportional to 181,874 and 395,230

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Solution

The third proportional to 181,874 and 395,230 is: 858,873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,874 : 395,230 = 395,230 : x
  2. Step 2: Convert to fraction form
    181,874/395,230 = 395,230/x
  3. Step 3: Cross multiply
    181,874x = 395,230 × 395,230
  4. Step 4: Simplify right side
    181,874x = 156,206,752,900
  5. Step 5: Solve for x
    x = 156,206,752,900/181,874
  6. Step 6: Final answer
    x = 858,873.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.