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Finding the Third Proportional to 121 and 236.75

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Solution

The third proportional to 121 and 236.75 is: 463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121 : 236.75 = 236.75 : x
  2. Step 2: Convert to fraction form
    121/236.75 = 236.75/x
  3. Step 3: Cross multiply
    121x = 236.75 × 236.75
  4. Step 4: Simplify right side
    121x = 56,050.56
  5. Step 5: Solve for x
    x = 56,050.56/121
  6. Step 6: Final answer
    x = 463.23

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These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.