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Finding the Third Proportional to 200,555 and 300,876

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Solution

The third proportional to 200,555 and 300,876 is: 451,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,555 : 300,876 = 300,876 : x
  2. Step 2: Convert to fraction form
    200,555/300,876 = 300,876/x
  3. Step 3: Cross multiply
    200,555x = 300,876 × 300,876
  4. Step 4: Simplify right side
    200,555x = 90,526,367,376
  5. Step 5: Solve for x
    x = 90,526,367,376/200,555
  6. Step 6: Final answer
    x = 451,379.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.