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Finding the Third Proportional to 194,379 and 290,067

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Solution

The third proportional to 194,379 and 290,067 is: 432,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,379 : 290,067 = 290,067 : x
  2. Step 2: Convert to fraction form
    194,379/290,067 = 290,067/x
  3. Step 3: Cross multiply
    194,379x = 290,067 × 290,067
  4. Step 4: Simplify right side
    194,379x = 84,138,864,489
  5. Step 5: Solve for x
    x = 84,138,864,489/194,379
  6. Step 6: Final answer
    x = 432,859.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.