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Finding the Third Proportional to 144.91 and 226.86

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Solution

The third proportional to 144.91 and 226.86 is: 355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.91 : 226.86 = 226.86 : x
  2. Step 2: Convert to fraction form
    144.91/226.86 = 226.86/x
  3. Step 3: Cross multiply
    144.91x = 226.86 × 226.86
  4. Step 4: Simplify right side
    144.91x = 51,466.95
  5. Step 5: Solve for x
    x = 51,466.95/144.91
  6. Step 6: Final answer
    x = 355.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.