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Finding the Third Proportional to 121.94 and 282.97

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Solution

The third proportional to 121.94 and 282.97 is: 656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.94 : 282.97 = 282.97 : x
  2. Step 2: Convert to fraction form
    121.94/282.97 = 282.97/x
  3. Step 3: Cross multiply
    121.94x = 282.97 × 282.97
  4. Step 4: Simplify right side
    121.94x = 80,071.31
  5. Step 5: Solve for x
    x = 80,071.31/121.94
  6. Step 6: Final answer
    x = 656.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.