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Finding the Third Proportional to 176,067 and 264,917

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Solution

The third proportional to 176,067 and 264,917 is: 398,604.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,067 : 264,917 = 264,917 : x
  2. Step 2: Convert to fraction form
    176,067/264,917 = 264,917/x
  3. Step 3: Cross multiply
    176,067x = 264,917 × 264,917
  4. Step 4: Simplify right side
    176,067x = 70,181,016,889
  5. Step 5: Solve for x
    x = 70,181,016,889/176,067
  6. Step 6: Final answer
    x = 398,604.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.