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Finding the Third Proportional to 134.06 and 311.44

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Solution

The third proportional to 134.06 and 311.44 is: 723.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.06 : 311.44 = 311.44 : x
  2. Step 2: Convert to fraction form
    134.06/311.44 = 311.44/x
  3. Step 3: Cross multiply
    134.06x = 311.44 × 311.44
  4. Step 4: Simplify right side
    134.06x = 96,993.32
  5. Step 5: Solve for x
    x = 96,993.32/134.06
  6. Step 6: Final answer
    x = 723.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.