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Finding the Third Proportional to 184,674 and 396,936

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Solution

The third proportional to 184,674 and 396,936 is: 853,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,674 : 396,936 = 396,936 : x
  2. Step 2: Convert to fraction form
    184,674/396,936 = 396,936/x
  3. Step 3: Cross multiply
    184,674x = 396,936 × 396,936
  4. Step 4: Simplify right side
    184,674x = 157,558,188,096
  5. Step 5: Solve for x
    x = 157,558,188,096/184,674
  6. Step 6: Final answer
    x = 853,169.30

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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.