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Finding the Third Proportional to 166,811 and 366,825

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Solution

The third proportional to 166,811 and 366,825 is: 806,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,811 : 366,825 = 366,825 : x
  2. Step 2: Convert to fraction form
    166,811/366,825 = 366,825/x
  3. Step 3: Cross multiply
    166,811x = 366,825 × 366,825
  4. Step 4: Simplify right side
    166,811x = 134,560,580,625
  5. Step 5: Solve for x
    x = 134,560,580,625/166,811
  6. Step 6: Final answer
    x = 806,664.91

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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.