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Finding the Third Proportional to 80,084 and 166,483

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Solution

The third proportional to 80,084 and 166,483 is: 346,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,084 : 166,483 = 166,483 : x
  2. Step 2: Convert to fraction form
    80,084/166,483 = 166,483/x
  3. Step 3: Cross multiply
    80,084x = 166,483 × 166,483
  4. Step 4: Simplify right side
    80,084x = 27,716,589,289
  5. Step 5: Solve for x
    x = 27,716,589,289/80,084
  6. Step 6: Final answer
    x = 346,093.97

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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.