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Finding the Third Proportional to 226.55 and 311.55

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Solution

The third proportional to 226.55 and 311.55 is: 428.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.55 : 311.55 = 311.55 : x
  2. Step 2: Convert to fraction form
    226.55/311.55 = 311.55/x
  3. Step 3: Cross multiply
    226.55x = 311.55 × 311.55
  4. Step 4: Simplify right side
    226.55x = 97,066.32
  5. Step 5: Solve for x
    x = 97,066.32/226.55
  6. Step 6: Final answer
    x = 428.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.