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Finding the Third Proportional to 156,974 and 335,493

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Solution

The third proportional to 156,974 and 335,493 is: 717,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,974 : 335,493 = 335,493 : x
  2. Step 2: Convert to fraction form
    156,974/335,493 = 335,493/x
  3. Step 3: Cross multiply
    156,974x = 335,493 × 335,493
  4. Step 4: Simplify right side
    156,974x = 112,555,553,049
  5. Step 5: Solve for x
    x = 112,555,553,049/156,974
  6. Step 6: Final answer
    x = 717,033.09

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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.