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Finding the Third Proportional to 135,676.50 and 298,419

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Solution

The third proportional to 135,676.50 and 298,419 is: 656,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,676.50 : 298,419 = 298,419 : x
  2. Step 2: Convert to fraction form
    135,676.50/298,419 = 298,419/x
  3. Step 3: Cross multiply
    135,676.50x = 298,419 × 298,419
  4. Step 4: Simplify right side
    135,676.50x = 89,053,899,561
  5. Step 5: Solve for x
    x = 89,053,899,561/135,676.50
  6. Step 6: Final answer
    x = 656,369.38

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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.