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Finding the Third Proportional to 135,668 and 298,404

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Solution

The third proportional to 135,668 and 298,404 is: 656,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,668 : 298,404 = 298,404 : x
  2. Step 2: Convert to fraction form
    135,668/298,404 = 298,404/x
  3. Step 3: Cross multiply
    135,668x = 298,404 × 298,404
  4. Step 4: Simplify right side
    135,668x = 89,044,947,216
  5. Step 5: Solve for x
    x = 89,044,947,216/135,668
  6. Step 6: Final answer
    x = 656,344.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.