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Finding the Third Proportional to 184,750 and 397,991

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Solution

The third proportional to 184,750 and 397,991 is: 857,357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,750 : 397,991 = 397,991 : x
  2. Step 2: Convert to fraction form
    184,750/397,991 = 397,991/x
  3. Step 3: Cross multiply
    184,750x = 397,991 × 397,991
  4. Step 4: Simplify right side
    184,750x = 158,396,836,081
  5. Step 5: Solve for x
    x = 158,396,836,081/184,750
  6. Step 6: Final answer
    x = 857,357.71

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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.