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Finding the Third Proportional to 111.41 and 244.19

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Solution

The third proportional to 111.41 and 244.19 is: 535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.41 : 244.19 = 244.19 : x
  2. Step 2: Convert to fraction form
    111.41/244.19 = 244.19/x
  3. Step 3: Cross multiply
    111.41x = 244.19 × 244.19
  4. Step 4: Simplify right side
    111.41x = 59,627.06
  5. Step 5: Solve for x
    x = 59,627.06/111.41
  6. Step 6: Final answer
    x = 535.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.