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Finding the Third Proportional to 144.88 and 301.94

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Solution

The third proportional to 144.88 and 301.94 is: 629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.88 : 301.94 = 301.94 : x
  2. Step 2: Convert to fraction form
    144.88/301.94 = 301.94/x
  3. Step 3: Cross multiply
    144.88x = 301.94 × 301.94
  4. Step 4: Simplify right side
    144.88x = 91,166.25
  5. Step 5: Solve for x
    x = 91,166.25/144.88
  6. Step 6: Final answer
    x = 629.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.