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Finding the Third Proportional to 116.38 and 247.94

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Solution

The third proportional to 116.38 and 247.94 is: 528.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.38 : 247.94 = 247.94 : x
  2. Step 2: Convert to fraction form
    116.38/247.94 = 247.94/x
  3. Step 3: Cross multiply
    116.38x = 247.94 × 247.94
  4. Step 4: Simplify right side
    116.38x = 61,473.00
  5. Step 5: Solve for x
    x = 61,473.00/116.38
  6. Step 6: Final answer
    x = 528.23

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.