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Finding the Third Proportional to 135,771 and 298,251

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Solution

The third proportional to 135,771 and 298,251 is: 655,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,771 : 298,251 = 298,251 : x
  2. Step 2: Convert to fraction form
    135,771/298,251 = 298,251/x
  3. Step 3: Cross multiply
    135,771x = 298,251 × 298,251
  4. Step 4: Simplify right side
    135,771x = 88,953,659,001
  5. Step 5: Solve for x
    x = 88,953,659,001/135,771
  6. Step 6: Final answer
    x = 655,174.22

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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.