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Finding the Third Proportional to 101.50 and 239.56

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Solution

The third proportional to 101.50 and 239.56 is: 565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.50 : 239.56 = 239.56 : x
  2. Step 2: Convert to fraction form
    101.50/239.56 = 239.56/x
  3. Step 3: Cross multiply
    101.50x = 239.56 × 239.56
  4. Step 4: Simplify right side
    101.50x = 57,390.19
  5. Step 5: Solve for x
    x = 57,390.19/101.50
  6. Step 6: Final answer
    x = 565.42

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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.