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Finding the Third Proportional to 166,027 and 366,940

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Solution

The third proportional to 166,027 and 366,940 is: 810,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,027 : 366,940 = 366,940 : x
  2. Step 2: Convert to fraction form
    166,027/366,940 = 366,940/x
  3. Step 3: Cross multiply
    166,027x = 366,940 × 366,940
  4. Step 4: Simplify right side
    166,027x = 134,644,963,600
  5. Step 5: Solve for x
    x = 134,644,963,600/166,027
  6. Step 6: Final answer
    x = 810,982.33

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.