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Finding the Third Proportional to 166,169.29 and 362,414.09

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Solution

The third proportional to 166,169.29 and 362,414.09 is: 790,422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,169.29 : 362,414.09 = 362,414.09 : x
  2. Step 2: Convert to fraction form
    166,169.29/362,414.09 = 362,414.09/x
  3. Step 3: Cross multiply
    166,169.29x = 362,414.09 × 362,414.09
  4. Step 4: Simplify right side
    166,169.29x = 131,343,973,932.96
  5. Step 5: Solve for x
    x = 131,343,973,932.96/166,169.29
  6. Step 6: Final answer
    x = 790,422.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.