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Finding the Third Proportional to 135,976 and 298,868

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Solution

The third proportional to 135,976 and 298,868 is: 656,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,976 : 298,868 = 298,868 : x
  2. Step 2: Convert to fraction form
    135,976/298,868 = 298,868/x
  3. Step 3: Cross multiply
    135,976x = 298,868 × 298,868
  4. Step 4: Simplify right side
    135,976x = 89,322,081,424
  5. Step 5: Solve for x
    x = 89,322,081,424/135,976
  6. Step 6: Final answer
    x = 656,895.93

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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.