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Finding the Third Proportional to 184,695 and 396,972

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Solution

The third proportional to 184,695 and 396,972 is: 853,227.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,695 : 396,972 = 396,972 : x
  2. Step 2: Convert to fraction form
    184,695/396,972 = 396,972/x
  3. Step 3: Cross multiply
    184,695x = 396,972 × 396,972
  4. Step 4: Simplify right side
    184,695x = 157,586,768,784
  5. Step 5: Solve for x
    x = 157,586,768,784/184,695
  6. Step 6: Final answer
    x = 853,227.04

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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.