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Finding the Third Proportional to 194,694 and 418,474

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Solution

The third proportional to 194,694 and 418,474 is: 899,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,694 : 418,474 = 418,474 : x
  2. Step 2: Convert to fraction form
    194,694/418,474 = 418,474/x
  3. Step 3: Cross multiply
    194,694x = 418,474 × 418,474
  4. Step 4: Simplify right side
    194,694x = 175,120,488,676
  5. Step 5: Solve for x
    x = 175,120,488,676/194,694
  6. Step 6: Final answer
    x = 899,465.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.