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Finding the Third Proportional to 110.36 and 239.94

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Solution

The third proportional to 110.36 and 239.94 is: 521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.36 : 239.94 = 239.94 : x
  2. Step 2: Convert to fraction form
    110.36/239.94 = 239.94/x
  3. Step 3: Cross multiply
    110.36x = 239.94 × 239.94
  4. Step 4: Simplify right side
    110.36x = 57,570.00
  5. Step 5: Solve for x
    x = 57,570.00/110.36
  6. Step 6: Final answer
    x = 521.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.