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Finding the Third Proportional to 184,001 and 396,192

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Solution

The third proportional to 184,001 and 396,192 is: 853,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,001 : 396,192 = 396,192 : x
  2. Step 2: Convert to fraction form
    184,001/396,192 = 396,192/x
  3. Step 3: Cross multiply
    184,001x = 396,192 × 396,192
  4. Step 4: Simplify right side
    184,001x = 156,968,100,864
  5. Step 5: Solve for x
    x = 156,968,100,864/184,001
  6. Step 6: Final answer
    x = 853,082.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.