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Finding the Third Proportional to 110,704.50 and 176,238

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Solution

The third proportional to 110,704.50 and 176,238 is: 280,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,704.50 : 176,238 = 176,238 : x
  2. Step 2: Convert to fraction form
    110,704.50/176,238 = 176,238/x
  3. Step 3: Cross multiply
    110,704.50x = 176,238 × 176,238
  4. Step 4: Simplify right side
    110,704.50x = 31,059,832,644
  5. Step 5: Solve for x
    x = 31,059,832,644/110,704.50
  6. Step 6: Final answer
    x = 280,565.22

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.