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Finding the Third Proportional to 184,793.91 and 397,198.69

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Solution

The third proportional to 184,793.91 and 397,198.69 is: 853,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,793.91 : 397,198.69 = 397,198.69 : x
  2. Step 2: Convert to fraction form
    184,793.91/397,198.69 = 397,198.69/x
  3. Step 3: Cross multiply
    184,793.91x = 397,198.69 × 397,198.69
  4. Step 4: Simplify right side
    184,793.91x = 157,766,797,351.72
  5. Step 5: Solve for x
    x = 157,766,797,351.72/184,793.91
  6. Step 6: Final answer
    x = 853,744.59

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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.