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Finding the Third Proportional to 198,594 and 425,617.50

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Solution

The third proportional to 198,594 and 425,617.50 is: 912,163.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,594 : 425,617.50 = 425,617.50 : x
  2. Step 2: Convert to fraction form
    198,594/425,617.50 = 425,617.50/x
  3. Step 3: Cross multiply
    198,594x = 425,617.50 × 425,617.50
  4. Step 4: Simplify right side
    198,594x = 181,150,256,306.25
  5. Step 5: Solve for x
    x = 181,150,256,306.25/198,594
  6. Step 6: Final answer
    x = 912,163.79

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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.