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Finding the Third Proportional to 244.69 and 362.81

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Solution

The third proportional to 244.69 and 362.81 is: 537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.69 : 362.81 = 362.81 : x
  2. Step 2: Convert to fraction form
    244.69/362.81 = 362.81/x
  3. Step 3: Cross multiply
    244.69x = 362.81 × 362.81
  4. Step 4: Simplify right side
    244.69x = 131,632.91
  5. Step 5: Solve for x
    x = 131,632.91/244.69
  6. Step 6: Final answer
    x = 537.96

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.