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Finding the Third Proportional to 94.92 and 223.54

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Solution

The third proportional to 94.92 and 223.54 is: 526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.92 : 223.54 = 223.54 : x
  2. Step 2: Convert to fraction form
    94.92/223.54 = 223.54/x
  3. Step 3: Cross multiply
    94.92x = 223.54 × 223.54
  4. Step 4: Simplify right side
    94.92x = 49,970.59
  5. Step 5: Solve for x
    x = 49,970.59/94.92
  6. Step 6: Final answer
    x = 526.44

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.