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Finding the Third Proportional to 200,354 and 300,027

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Solution

The third proportional to 200,354 and 300,027 is: 449,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,354 : 300,027 = 300,027 : x
  2. Step 2: Convert to fraction form
    200,354/300,027 = 300,027/x
  3. Step 3: Cross multiply
    200,354x = 300,027 × 300,027
  4. Step 4: Simplify right side
    200,354x = 90,016,200,729
  5. Step 5: Solve for x
    x = 90,016,200,729/200,354
  6. Step 6: Final answer
    x = 449,285.77

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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.