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Finding the Third Proportional to 195,060 and 419,218.50

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Solution

The third proportional to 195,060 and 419,218.50 is: 900,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,060 : 419,218.50 = 419,218.50 : x
  2. Step 2: Convert to fraction form
    195,060/419,218.50 = 419,218.50/x
  3. Step 3: Cross multiply
    195,060x = 419,218.50 × 419,218.50
  4. Step 4: Simplify right side
    195,060x = 175,744,150,742.25
  5. Step 5: Solve for x
    x = 175,744,150,742.25/195,060
  6. Step 6: Final answer
    x = 900,974.83

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