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Finding the Third Proportional to 111.47 and 244.22

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Solution

The third proportional to 111.47 and 244.22 is: 535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.47 : 244.22 = 244.22 : x
  2. Step 2: Convert to fraction form
    111.47/244.22 = 244.22/x
  3. Step 3: Cross multiply
    111.47x = 244.22 × 244.22
  4. Step 4: Simplify right side
    111.47x = 59,642.80
  5. Step 5: Solve for x
    x = 59,642.80/111.47
  6. Step 6: Final answer
    x = 535.06

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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.