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Finding the Third Proportional to 184,019.88 and 396,227.50

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Solution

The third proportional to 184,019.88 and 396,227.50 is: 853,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,019.88 : 396,227.50 = 396,227.50 : x
  2. Step 2: Convert to fraction form
    184,019.88/396,227.50 = 396,227.50/x
  3. Step 3: Cross multiply
    184,019.88x = 396,227.50 × 396,227.50
  4. Step 4: Simplify right side
    184,019.88x = 156,996,231,756.25
  5. Step 5: Solve for x
    x = 156,996,231,756.25/184,019.88
  6. Step 6: Final answer
    x = 853,148.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.