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Finding the Third Proportional to 111,794 and 179,517

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Solution

The third proportional to 111,794 and 179,517 is: 288,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,794 : 179,517 = 179,517 : x
  2. Step 2: Convert to fraction form
    111,794/179,517 = 179,517/x
  3. Step 3: Cross multiply
    111,794x = 179,517 × 179,517
  4. Step 4: Simplify right side
    111,794x = 32,226,353,289
  5. Step 5: Solve for x
    x = 32,226,353,289/111,794
  6. Step 6: Final answer
    x = 288,265.50

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.