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Finding the Third Proportional to 135,780 and 298,306

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Solution

The third proportional to 135,780 and 298,306 is: 655,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,780 : 298,306 = 298,306 : x
  2. Step 2: Convert to fraction form
    135,780/298,306 = 298,306/x
  3. Step 3: Cross multiply
    135,780x = 298,306 × 298,306
  4. Step 4: Simplify right side
    135,780x = 88,986,469,636
  5. Step 5: Solve for x
    x = 88,986,469,636/135,780
  6. Step 6: Final answer
    x = 655,372.44

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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.