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Finding the Third Proportional to 280.94 and 418.88

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Solution

The third proportional to 280.94 and 418.88 is: 624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.94 : 418.88 = 418.88 : x
  2. Step 2: Convert to fraction form
    280.94/418.88 = 418.88/x
  3. Step 3: Cross multiply
    280.94x = 418.88 × 418.88
  4. Step 4: Simplify right side
    280.94x = 175,456.27
  5. Step 5: Solve for x
    x = 175,456.27/280.94
  6. Step 6: Final answer
    x = 624.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.