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Finding the Third Proportional to 227.44 and 330.06

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Solution

The third proportional to 227.44 and 330.06 is: 478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.44 : 330.06 = 330.06 : x
  2. Step 2: Convert to fraction form
    227.44/330.06 = 330.06/x
  3. Step 3: Cross multiply
    227.44x = 330.06 × 330.06
  4. Step 4: Simplify right side
    227.44x = 108,941.25
  5. Step 5: Solve for x
    x = 108,941.25/227.44
  6. Step 6: Final answer
    x = 478.99

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.