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Finding the Third Proportional to 228.94 and 333.42

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Solution

The third proportional to 228.94 and 333.42 is: 485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.94 : 333.42 = 333.42 : x
  2. Step 2: Convert to fraction form
    228.94/333.42 = 333.42/x
  3. Step 3: Cross multiply
    228.94x = 333.42 × 333.42
  4. Step 4: Simplify right side
    228.94x = 111,170.15
  5. Step 5: Solve for x
    x = 111,170.15/228.94
  6. Step 6: Final answer
    x = 485.59

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