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Finding the Third Proportional to 198,591 and 425,610

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Solution

The third proportional to 198,591 and 425,610 is: 912,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,591 : 425,610 = 425,610 : x
  2. Step 2: Convert to fraction form
    198,591/425,610 = 425,610/x
  3. Step 3: Cross multiply
    198,591x = 425,610 × 425,610
  4. Step 4: Simplify right side
    198,591x = 181,143,872,100
  5. Step 5: Solve for x
    x = 181,143,872,100/198,591
  6. Step 6: Final answer
    x = 912,145.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.