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Finding the Third Proportional to 184,676 and 396,935

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Solution

The third proportional to 184,676 and 396,935 is: 853,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,676 : 396,935 = 396,935 : x
  2. Step 2: Convert to fraction form
    184,676/396,935 = 396,935/x
  3. Step 3: Cross multiply
    184,676x = 396,935 × 396,935
  4. Step 4: Simplify right side
    184,676x = 157,557,394,225
  5. Step 5: Solve for x
    x = 157,557,394,225/184,676
  6. Step 6: Final answer
    x = 853,155.77

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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.