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Finding the Third Proportional to 268.94 and 362.88

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Solution

The third proportional to 268.94 and 362.88 is: 489.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.94 : 362.88 = 362.88 : x
  2. Step 2: Convert to fraction form
    268.94/362.88 = 362.88/x
  3. Step 3: Cross multiply
    268.94x = 362.88 × 362.88
  4. Step 4: Simplify right side
    268.94x = 131,678.27
  5. Step 5: Solve for x
    x = 131,678.27/268.94
  6. Step 6: Final answer
    x = 489.62

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.