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Finding the Third Proportional to 202,519.50 and 443,163

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Solution

The third proportional to 202,519.50 and 443,163 is: 969,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,519.50 : 443,163 = 443,163 : x
  2. Step 2: Convert to fraction form
    202,519.50/443,163 = 443,163/x
  3. Step 3: Cross multiply
    202,519.50x = 443,163 × 443,163
  4. Step 4: Simplify right side
    202,519.50x = 196,393,444,569
  5. Step 5: Solve for x
    x = 196,393,444,569/202,519.50
  6. Step 6: Final answer
    x = 969,750.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.