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Finding the Third Proportional to 203,494.50 and 443,150.50

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Solution

The third proportional to 203,494.50 and 443,150.50 is: 965,049.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,494.50 : 443,150.50 = 443,150.50 : x
  2. Step 2: Convert to fraction form
    203,494.50/443,150.50 = 443,150.50/x
  3. Step 3: Cross multiply
    203,494.50x = 443,150.50 × 443,150.50
  4. Step 4: Simplify right side
    203,494.50x = 196,382,365,650.25
  5. Step 5: Solve for x
    x = 196,382,365,650.25/203,494.50
  6. Step 6: Final answer
    x = 965,049.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.