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Finding the Third Proportional to 94 and 209.50

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Solution

The third proportional to 94 and 209.50 is: 466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94 : 209.50 = 209.50 : x
  2. Step 2: Convert to fraction form
    94/209.50 = 209.50/x
  3. Step 3: Cross multiply
    94x = 209.50 × 209.50
  4. Step 4: Simplify right side
    94x = 43,890.25
  5. Step 5: Solve for x
    x = 43,890.25/94
  6. Step 6: Final answer
    x = 466.92

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.