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Finding the Third Proportional to 184,736.25 and 397,098.75

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Solution

The third proportional to 184,736.25 and 397,098.75 is: 853,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,736.25 : 397,098.75 = 397,098.75 : x
  2. Step 2: Convert to fraction form
    184,736.25/397,098.75 = 397,098.75/x
  3. Step 3: Cross multiply
    184,736.25x = 397,098.75 × 397,098.75
  4. Step 4: Simplify right side
    184,736.25x = 157,687,417,251.56
  5. Step 5: Solve for x
    x = 157,687,417,251.56/184,736.25
  6. Step 6: Final answer
    x = 853,581.35

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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.