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Finding the Third Proportional to 96.19 and 244.27

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Solution

The third proportional to 96.19 and 244.27 is: 620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.19 : 244.27 = 244.27 : x
  2. Step 2: Convert to fraction form
    96.19/244.27 = 244.27/x
  3. Step 3: Cross multiply
    96.19x = 244.27 × 244.27
  4. Step 4: Simplify right side
    96.19x = 59,665.70
  5. Step 5: Solve for x
    x = 59,665.70/96.19
  6. Step 6: Final answer
    x = 620.31

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Why These Related Problems?

These problems maintain the same ratio (2.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.