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Finding the Third Proportional to 184,372 and 396,769

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Solution

The third proportional to 184,372 and 396,769 is: 853,847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,372 : 396,769 = 396,769 : x
  2. Step 2: Convert to fraction form
    184,372/396,769 = 396,769/x
  3. Step 3: Cross multiply
    184,372x = 396,769 × 396,769
  4. Step 4: Simplify right side
    184,372x = 157,425,639,361
  5. Step 5: Solve for x
    x = 157,425,639,361/184,372
  6. Step 6: Final answer
    x = 853,847.87

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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.