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Finding the Third Proportional to 184,738.50 and 397,103

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Solution

The third proportional to 184,738.50 and 397,103 is: 853,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,738.50 : 397,103 = 397,103 : x
  2. Step 2: Convert to fraction form
    184,738.50/397,103 = 397,103/x
  3. Step 3: Cross multiply
    184,738.50x = 397,103 × 397,103
  4. Step 4: Simplify right side
    184,738.50x = 157,690,792,609
  5. Step 5: Solve for x
    x = 157,690,792,609/184,738.50
  6. Step 6: Final answer
    x = 853,589.22

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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.