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Finding the Third Proportional to 76,879 and 166,880

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Solution

The third proportional to 76,879 and 166,880 is: 362,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,879 : 166,880 = 166,880 : x
  2. Step 2: Convert to fraction form
    76,879/166,880 = 166,880/x
  3. Step 3: Cross multiply
    76,879x = 166,880 × 166,880
  4. Step 4: Simplify right side
    76,879x = 27,848,934,400
  5. Step 5: Solve for x
    x = 27,848,934,400/76,879
  6. Step 6: Final answer
    x = 362,243.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.