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Finding the Third Proportional to 197,081 and 300,542

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Solution

The third proportional to 197,081 and 300,542 is: 458,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,081 : 300,542 = 300,542 : x
  2. Step 2: Convert to fraction form
    197,081/300,542 = 300,542/x
  3. Step 3: Cross multiply
    197,081x = 300,542 × 300,542
  4. Step 4: Simplify right side
    197,081x = 90,325,493,764
  5. Step 5: Solve for x
    x = 90,325,493,764/197,081
  6. Step 6: Final answer
    x = 458,316.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.