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Finding the Third Proportional to 101.88 and 237.44

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Solution

The third proportional to 101.88 and 237.44 is: 553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.88 : 237.44 = 237.44 : x
  2. Step 2: Convert to fraction form
    101.88/237.44 = 237.44/x
  3. Step 3: Cross multiply
    101.88x = 237.44 × 237.44
  4. Step 4: Simplify right side
    101.88x = 56,376.57
  5. Step 5: Solve for x
    x = 56,376.57/101.88
  6. Step 6: Final answer
    x = 553.39

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.