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Finding the Third Proportional to 166,161.38 and 362,399.06

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Solution

The third proportional to 166,161.38 and 362,399.06 is: 790,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,161.38 : 362,399.06 = 362,399.06 : x
  2. Step 2: Convert to fraction form
    166,161.38/362,399.06 = 362,399.06/x
  3. Step 3: Cross multiply
    166,161.38x = 362,399.06 × 362,399.06
  4. Step 4: Simplify right side
    166,161.38x = 131,333,080,500.88
  5. Step 5: Solve for x
    x = 131,333,080,500.88/166,161.38
  6. Step 6: Final answer
    x = 790,394.76

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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.