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Finding the Third Proportional to 121.22 and 269.34

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Solution

The third proportional to 121.22 and 269.34 is: 598.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.22 : 269.34 = 269.34 : x
  2. Step 2: Convert to fraction form
    121.22/269.34 = 269.34/x
  3. Step 3: Cross multiply
    121.22x = 269.34 × 269.34
  4. Step 4: Simplify right side
    121.22x = 72,546.06
  5. Step 5: Solve for x
    x = 72,546.06/121.22
  6. Step 6: Final answer
    x = 598.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.