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Finding the Third Proportional to 162.94 and 244.31

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Solution

The third proportional to 162.94 and 244.31 is: 366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.94 : 244.31 = 244.31 : x
  2. Step 2: Convert to fraction form
    162.94/244.31 = 244.31/x
  3. Step 3: Cross multiply
    162.94x = 244.31 × 244.31
  4. Step 4: Simplify right side
    162.94x = 59,688.60
  5. Step 5: Solve for x
    x = 59,688.60/162.94
  6. Step 6: Final answer
    x = 366.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.