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Finding the Third Proportional to 135,776.25 and 298,297.69

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Solution

The third proportional to 135,776.25 and 298,297.69 is: 655,354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,776.25 : 298,297.69 = 298,297.69 : x
  2. Step 2: Convert to fraction form
    135,776.25/298,297.69 = 298,297.69/x
  3. Step 3: Cross multiply
    135,776.25x = 298,297.69 × 298,297.69
  4. Step 4: Simplify right side
    135,776.25x = 88,981,510,367.85
  5. Step 5: Solve for x
    x = 88,981,510,367.85/135,776.25
  6. Step 6: Final answer
    x = 655,354.01

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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.