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Finding the Third Proportional to 203,517 and 443,193

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Solution

The third proportional to 203,517 and 443,193 is: 965,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,517 : 443,193 = 443,193 : x
  2. Step 2: Convert to fraction form
    203,517/443,193 = 443,193/x
  3. Step 3: Cross multiply
    203,517x = 443,193 × 443,193
  4. Step 4: Simplify right side
    203,517x = 196,420,035,249
  5. Step 5: Solve for x
    x = 196,420,035,249/203,517
  6. Step 6: Final answer
    x = 965,128.39

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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.