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Finding the Third Proportional to 126,868 and 276,338

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Solution

The third proportional to 126,868 and 276,338 is: 601,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,868 : 276,338 = 276,338 : x
  2. Step 2: Convert to fraction form
    126,868/276,338 = 276,338/x
  3. Step 3: Cross multiply
    126,868x = 276,338 × 276,338
  4. Step 4: Simplify right side
    126,868x = 76,362,690,244
  5. Step 5: Solve for x
    x = 76,362,690,244/126,868
  6. Step 6: Final answer
    x = 601,906.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.