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Finding the Third Proportional to 166,326 and 365,867

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Solution

The third proportional to 166,326 and 365,867 is: 804,796.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,326 : 365,867 = 365,867 : x
  2. Step 2: Convert to fraction form
    166,326/365,867 = 365,867/x
  3. Step 3: Cross multiply
    166,326x = 365,867 × 365,867
  4. Step 4: Simplify right side
    166,326x = 133,858,661,689
  5. Step 5: Solve for x
    x = 133,858,661,689/166,326
  6. Step 6: Final answer
    x = 804,796.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.