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Finding the Third Proportional to 181,997 and 395,433

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Solution

The third proportional to 181,997 and 395,433 is: 859,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,997 : 395,433 = 395,433 : x
  2. Step 2: Convert to fraction form
    181,997/395,433 = 395,433/x
  3. Step 3: Cross multiply
    181,997x = 395,433 × 395,433
  4. Step 4: Simplify right side
    181,997x = 156,367,257,489
  5. Step 5: Solve for x
    x = 156,367,257,489/181,997
  6. Step 6: Final answer
    x = 859,174.92

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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.