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Finding the Third Proportional to 99.75 and 239.25

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Solution

The third proportional to 99.75 and 239.25 is: 573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.75 : 239.25 = 239.25 : x
  2. Step 2: Convert to fraction form
    99.75/239.25 = 239.25/x
  3. Step 3: Cross multiply
    99.75x = 239.25 × 239.25
  4. Step 4: Simplify right side
    99.75x = 57,240.56
  5. Step 5: Solve for x
    x = 57,240.56/99.75
  6. Step 6: Final answer
    x = 573.84

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.