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Finding the Third Proportional to 105.94 and 230.81

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Solution

The third proportional to 105.94 and 230.81 is: 502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.94 : 230.81 = 230.81 : x
  2. Step 2: Convert to fraction form
    105.94/230.81 = 230.81/x
  3. Step 3: Cross multiply
    105.94x = 230.81 × 230.81
  4. Step 4: Simplify right side
    105.94x = 53,274.41
  5. Step 5: Solve for x
    x = 53,274.41/105.94
  6. Step 6: Final answer
    x = 502.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.