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Finding the Third Proportional to 103.50 and 244.97

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Solution

The third proportional to 103.50 and 244.97 is: 579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.50 : 244.97 = 244.97 : x
  2. Step 2: Convert to fraction form
    103.50/244.97 = 244.97/x
  3. Step 3: Cross multiply
    103.50x = 244.97 × 244.97
  4. Step 4: Simplify right side
    103.50x = 60,009.69
  5. Step 5: Solve for x
    x = 60,009.69/103.50
  6. Step 6: Final answer
    x = 579.80

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.