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Finding the Third Proportional to 204,355 and 303,615

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Solution

The third proportional to 204,355 and 303,615 is: 451,087.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,355 : 303,615 = 303,615 : x
  2. Step 2: Convert to fraction form
    204,355/303,615 = 303,615/x
  3. Step 3: Cross multiply
    204,355x = 303,615 × 303,615
  4. Step 4: Simplify right side
    204,355x = 92,182,068,225
  5. Step 5: Solve for x
    x = 92,182,068,225/204,355
  6. Step 6: Final answer
    x = 451,087.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.