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Finding the Third Proportional to 203,532.75 and 443,211.75

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Solution

The third proportional to 203,532.75 and 443,211.75 is: 965,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,532.75 : 443,211.75 = 443,211.75 : x
  2. Step 2: Convert to fraction form
    203,532.75/443,211.75 = 443,211.75/x
  3. Step 3: Cross multiply
    203,532.75x = 443,211.75 × 443,211.75
  4. Step 4: Simplify right side
    203,532.75x = 196,436,655,338.06
  5. Step 5: Solve for x
    x = 196,436,655,338.06/203,532.75
  6. Step 6: Final answer
    x = 965,135.37

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Why These Related Problems?

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