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Finding the Third Proportional to 166,761 and 366,733

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Solution

The third proportional to 166,761 and 366,733 is: 806,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,761 : 366,733 = 366,733 : x
  2. Step 2: Convert to fraction form
    166,761/366,733 = 366,733/x
  3. Step 3: Cross multiply
    166,761x = 366,733 × 366,733
  4. Step 4: Simplify right side
    166,761x = 134,493,093,289
  5. Step 5: Solve for x
    x = 134,493,093,289/166,761
  6. Step 6: Final answer
    x = 806,502.08

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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.