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Finding the Third Proportional to 94.01 and 219.67

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Solution

The third proportional to 94.01 and 219.67 is: 513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.01 : 219.67 = 219.67 : x
  2. Step 2: Convert to fraction form
    94.01/219.67 = 219.67/x
  3. Step 3: Cross multiply
    94.01x = 219.67 × 219.67
  4. Step 4: Simplify right side
    94.01x = 48,252.73
  5. Step 5: Solve for x
    x = 48,252.73/94.01
  6. Step 6: Final answer
    x = 513.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.