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Finding the Third Proportional to 300,180 and 422,190

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Solution

The third proportional to 300,180 and 422,190 is: 593,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,180 : 422,190 = 422,190 : x
  2. Step 2: Convert to fraction form
    300,180/422,190 = 422,190/x
  3. Step 3: Cross multiply
    300,180x = 422,190 × 422,190
  4. Step 4: Simplify right side
    300,180x = 178,244,396,100
  5. Step 5: Solve for x
    x = 178,244,396,100/300,180
  6. Step 6: Final answer
    x = 593,791.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.