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Finding the Third Proportional to 166,821 and 366,847

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Solution

The third proportional to 166,821 and 366,847 is: 806,713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,821 : 366,847 = 366,847 : x
  2. Step 2: Convert to fraction form
    166,821/366,847 = 366,847/x
  3. Step 3: Cross multiply
    166,821x = 366,847 × 366,847
  4. Step 4: Simplify right side
    166,821x = 134,576,721,409
  5. Step 5: Solve for x
    x = 134,576,721,409/166,821
  6. Step 6: Final answer
    x = 806,713.31

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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.