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Finding the Third Proportional to 101.56 and 226.19

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Solution

The third proportional to 101.56 and 226.19 is: 503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.56 : 226.19 = 226.19 : x
  2. Step 2: Convert to fraction form
    101.56/226.19 = 226.19/x
  3. Step 3: Cross multiply
    101.56x = 226.19 × 226.19
  4. Step 4: Simplify right side
    101.56x = 51,160.79
  5. Step 5: Solve for x
    x = 51,160.79/101.56
  6. Step 6: Final answer
    x = 503.74

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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.