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Finding the Third Proportional to 184,198 and 396,733

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Solution

The third proportional to 184,198 and 396,733 is: 854,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,198 : 396,733 = 396,733 : x
  2. Step 2: Convert to fraction form
    184,198/396,733 = 396,733/x
  3. Step 3: Cross multiply
    184,198x = 396,733 × 396,733
  4. Step 4: Simplify right side
    184,198x = 157,397,073,289
  5. Step 5: Solve for x
    x = 157,397,073,289/184,198
  6. Step 6: Final answer
    x = 854,499.36

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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.