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Finding the Third Proportional to 226.59 and 330.56

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Solution

The third proportional to 226.59 and 330.56 is: 482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.59 : 330.56 = 330.56 : x
  2. Step 2: Convert to fraction form
    226.59/330.56 = 330.56/x
  3. Step 3: Cross multiply
    226.59x = 330.56 × 330.56
  4. Step 4: Simplify right side
    226.59x = 109,271.57
  5. Step 5: Solve for x
    x = 109,271.57/226.59
  6. Step 6: Final answer
    x = 482.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.