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Finding the Third Proportional to 193,868 and 418,869

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Solution

The third proportional to 193,868 and 418,869 is: 905,003.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,868 : 418,869 = 418,869 : x
  2. Step 2: Convert to fraction form
    193,868/418,869 = 418,869/x
  3. Step 3: Cross multiply
    193,868x = 418,869 × 418,869
  4. Step 4: Simplify right side
    193,868x = 175,451,239,161
  5. Step 5: Solve for x
    x = 175,451,239,161/193,868
  6. Step 6: Final answer
    x = 905,003.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.