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Finding the Third Proportional to 203,571 and 434,193

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Solution

The third proportional to 203,571 and 434,193 is: 926,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,571 : 434,193 = 434,193 : x
  2. Step 2: Convert to fraction form
    203,571/434,193 = 434,193/x
  3. Step 3: Cross multiply
    203,571x = 434,193 × 434,193
  4. Step 4: Simplify right side
    203,571x = 188,523,561,249
  5. Step 5: Solve for x
    x = 188,523,561,249/203,571
  6. Step 6: Final answer
    x = 926,082.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.