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Finding the Third Proportional to 80,284 and 166,940

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Solution

The third proportional to 80,284 and 166,940 is: 347,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,284 : 166,940 = 166,940 : x
  2. Step 2: Convert to fraction form
    80,284/166,940 = 166,940/x
  3. Step 3: Cross multiply
    80,284x = 166,940 × 166,940
  4. Step 4: Simplify right side
    80,284x = 27,868,963,600
  5. Step 5: Solve for x
    x = 27,868,963,600/80,284
  6. Step 6: Final answer
    x = 347,129.73

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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.