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Finding the Third Proportional to 135,795 and 298,662

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Solution

The third proportional to 135,795 and 298,662 is: 656,865.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,795 : 298,662 = 298,662 : x
  2. Step 2: Convert to fraction form
    135,795/298,662 = 298,662/x
  3. Step 3: Cross multiply
    135,795x = 298,662 × 298,662
  4. Step 4: Simplify right side
    135,795x = 89,198,990,244
  5. Step 5: Solve for x
    x = 89,198,990,244/135,795
  6. Step 6: Final answer
    x = 656,865.06

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Why These Related Problems?

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