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Finding the Third Proportional to 103.50 and 239.91

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Solution

The third proportional to 103.50 and 239.91 is: 556.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.50 : 239.91 = 239.91 : x
  2. Step 2: Convert to fraction form
    103.50/239.91 = 239.91/x
  3. Step 3: Cross multiply
    103.50x = 239.91 × 239.91
  4. Step 4: Simplify right side
    103.50x = 57,555.01
  5. Step 5: Solve for x
    x = 57,555.01/103.50
  6. Step 6: Final answer
    x = 556.09

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.