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Finding the Third Proportional to 122.44 and 233.06

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Solution

The third proportional to 122.44 and 233.06 is: 443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.44 : 233.06 = 233.06 : x
  2. Step 2: Convert to fraction form
    122.44/233.06 = 233.06/x
  3. Step 3: Cross multiply
    122.44x = 233.06 × 233.06
  4. Step 4: Simplify right side
    122.44x = 54,318.13
  5. Step 5: Solve for x
    x = 54,318.13/122.44
  6. Step 6: Final answer
    x = 443.64

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.