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Finding the Third Proportional to 101.38 and 240.44

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Solution

The third proportional to 101.38 and 240.44 is: 570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.38 : 240.44 = 240.44 : x
  2. Step 2: Convert to fraction form
    101.38/240.44 = 240.44/x
  3. Step 3: Cross multiply
    101.38x = 240.44 × 240.44
  4. Step 4: Simplify right side
    101.38x = 57,810.19
  5. Step 5: Solve for x
    x = 57,810.19/101.38
  6. Step 6: Final answer
    x = 570.26

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.