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Finding the Third Proportional to 163.27 and 375.89

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Solution

The third proportional to 163.27 and 375.89 is: 865.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.27 : 375.89 = 375.89 : x
  2. Step 2: Convert to fraction form
    163.27/375.89 = 375.89/x
  3. Step 3: Cross multiply
    163.27x = 375.89 × 375.89
  4. Step 4: Simplify right side
    163.27x = 141,293.76
  5. Step 5: Solve for x
    x = 141,293.76/163.27
  6. Step 6: Final answer
    x = 865.42

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.