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Finding the Third Proportional to 119.25 and 244.31

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Solution

The third proportional to 119.25 and 244.31 is: 500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.25 : 244.31 = 244.31 : x
  2. Step 2: Convert to fraction form
    119.25/244.31 = 244.31/x
  3. Step 3: Cross multiply
    119.25x = 244.31 × 244.31
  4. Step 4: Simplify right side
    119.25x = 59,688.60
  5. Step 5: Solve for x
    x = 59,688.60/119.25
  6. Step 6: Final answer
    x = 500.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.