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Finding the Third Proportional to 101.44 and 225.94

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Solution

The third proportional to 101.44 and 225.94 is: 503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.44 : 225.94 = 225.94 : x
  2. Step 2: Convert to fraction form
    101.44/225.94 = 225.94/x
  3. Step 3: Cross multiply
    101.44x = 225.94 × 225.94
  4. Step 4: Simplify right side
    101.44x = 51,047.75
  5. Step 5: Solve for x
    x = 51,047.75/101.44
  6. Step 6: Final answer
    x = 503.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.