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Finding the Third Proportional to 184,747.50 and 397,990.13

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Solution

The third proportional to 184,747.50 and 397,990.13 is: 857,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,747.50 : 397,990.13 = 397,990.13 : x
  2. Step 2: Convert to fraction form
    184,747.50/397,990.13 = 397,990.13/x
  3. Step 3: Cross multiply
    184,747.50x = 397,990.13 × 397,990.13
  4. Step 4: Simplify right side
    184,747.50x = 158,396,139,597.52
  5. Step 5: Solve for x
    x = 158,396,139,597.52/184,747.50
  6. Step 6: Final answer
    x = 857,365.54

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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.