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Finding the Third Proportional to 244.31 and 495.19

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Solution

The third proportional to 244.31 and 495.19 is: 1,003.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.31 : 495.19 = 495.19 : x
  2. Step 2: Convert to fraction form
    244.31/495.19 = 495.19/x
  3. Step 3: Cross multiply
    244.31x = 495.19 × 495.19
  4. Step 4: Simplify right side
    244.31x = 245,210.66
  5. Step 5: Solve for x
    x = 245,210.66/244.31
  6. Step 6: Final answer
    x = 1,003.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.