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Finding the Third Proportional to 175.92 and 263.21

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Solution

The third proportional to 175.92 and 263.21 is: 393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.92 : 263.21 = 263.21 : x
  2. Step 2: Convert to fraction form
    175.92/263.21 = 263.21/x
  3. Step 3: Cross multiply
    175.92x = 263.21 × 263.21
  4. Step 4: Simplify right side
    175.92x = 69,282.05
  5. Step 5: Solve for x
    x = 69,282.05/175.92
  6. Step 6: Final answer
    x = 393.82

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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.