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Finding the Third Proportional to 101.25 and 240.47

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Solution

The third proportional to 101.25 and 240.47 is: 571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.25 : 240.47 = 240.47 : x
  2. Step 2: Convert to fraction form
    101.25/240.47 = 240.47/x
  3. Step 3: Cross multiply
    101.25x = 240.47 × 240.47
  4. Step 4: Simplify right side
    101.25x = 57,825.22
  5. Step 5: Solve for x
    x = 57,825.22/101.25
  6. Step 6: Final answer
    x = 571.11

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.