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Finding the Third Proportional to 135,793 and 298,331

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Solution

The third proportional to 135,793 and 298,331 is: 655,419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,793 : 298,331 = 298,331 : x
  2. Step 2: Convert to fraction form
    135,793/298,331 = 298,331/x
  3. Step 3: Cross multiply
    135,793x = 298,331 × 298,331
  4. Step 4: Simplify right side
    135,793x = 89,001,385,561
  5. Step 5: Solve for x
    x = 89,001,385,561/135,793
  6. Step 6: Final answer
    x = 655,419.54

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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.