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Finding the Third Proportional to 181,150 and 395,212

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Solution

The third proportional to 181,150 and 395,212 is: 862,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,150 : 395,212 = 395,212 : x
  2. Step 2: Convert to fraction form
    181,150/395,212 = 395,212/x
  3. Step 3: Cross multiply
    181,150x = 395,212 × 395,212
  4. Step 4: Simplify right side
    181,150x = 156,192,524,944
  5. Step 5: Solve for x
    x = 156,192,524,944/181,150
  6. Step 6: Final answer
    x = 862,227.57

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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.