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Finding the Third Proportional to 184,098 and 396,366

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Solution

The third proportional to 184,098 and 396,366 is: 853,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,098 : 396,366 = 396,366 : x
  2. Step 2: Convert to fraction form
    184,098/396,366 = 396,366/x
  3. Step 3: Cross multiply
    184,098x = 396,366 × 396,366
  4. Step 4: Simplify right side
    184,098x = 157,106,005,956
  5. Step 5: Solve for x
    x = 157,106,005,956/184,098
  6. Step 6: Final answer
    x = 853,382.47

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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.