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Finding the Third Proportional to 117.97 and 244.22

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Solution

The third proportional to 117.97 and 244.22 is: 505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.97 : 244.22 = 244.22 : x
  2. Step 2: Convert to fraction form
    117.97/244.22 = 244.22/x
  3. Step 3: Cross multiply
    117.97x = 244.22 × 244.22
  4. Step 4: Simplify right side
    117.97x = 59,642.80
  5. Step 5: Solve for x
    x = 59,642.80/117.97
  6. Step 6: Final answer
    x = 505.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.