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Finding the Third Proportional to 194,204 and 415,393

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Solution

The third proportional to 194,204 and 415,393 is: 888,505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,204 : 415,393 = 415,393 : x
  2. Step 2: Convert to fraction form
    194,204/415,393 = 415,393/x
  3. Step 3: Cross multiply
    194,204x = 415,393 × 415,393
  4. Step 4: Simplify right side
    194,204x = 172,551,344,449
  5. Step 5: Solve for x
    x = 172,551,344,449/194,204
  6. Step 6: Final answer
    x = 888,505.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.