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Finding the Third Proportional to 76,832 and 159,794

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Solution

The third proportional to 76,832 and 159,794 is: 332,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,832 : 159,794 = 159,794 : x
  2. Step 2: Convert to fraction form
    76,832/159,794 = 159,794/x
  3. Step 3: Cross multiply
    76,832x = 159,794 × 159,794
  4. Step 4: Simplify right side
    76,832x = 25,534,122,436
  5. Step 5: Solve for x
    x = 25,534,122,436/76,832
  6. Step 6: Final answer
    x = 332,337.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.