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Finding the Third Proportional to 188,504.50 and 398,825

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Solution

The third proportional to 188,504.50 and 398,825 is: 843,806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,504.50 : 398,825 = 398,825 : x
  2. Step 2: Convert to fraction form
    188,504.50/398,825 = 398,825/x
  3. Step 3: Cross multiply
    188,504.50x = 398,825 × 398,825
  4. Step 4: Simplify right side
    188,504.50x = 159,061,380,625
  5. Step 5: Solve for x
    x = 159,061,380,625/188,504.50
  6. Step 6: Final answer
    x = 843,806.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.