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Finding the Third Proportional to 101.67 and 239.94

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Solution

The third proportional to 101.67 and 239.94 is: 566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.67 : 239.94 = 239.94 : x
  2. Step 2: Convert to fraction form
    101.67/239.94 = 239.94/x
  3. Step 3: Cross multiply
    101.67x = 239.94 × 239.94
  4. Step 4: Simplify right side
    101.67x = 57,571.88
  5. Step 5: Solve for x
    x = 57,571.88/101.67
  6. Step 6: Final answer
    x = 566.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.