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Finding the Third Proportional to 197,591 and 425,193

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Solution

The third proportional to 197,591 and 425,193 is: 914,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,591 : 425,193 = 425,193 : x
  2. Step 2: Convert to fraction form
    197,591/425,193 = 425,193/x
  3. Step 3: Cross multiply
    197,591x = 425,193 × 425,193
  4. Step 4: Simplify right side
    197,591x = 180,789,087,249
  5. Step 5: Solve for x
    x = 180,789,087,249/197,591
  6. Step 6: Final answer
    x = 914,966.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.