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Finding the Third Proportional to 144.89 and 301.73

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Solution

The third proportional to 144.89 and 301.73 is: 628.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.89 : 301.73 = 301.73 : x
  2. Step 2: Convert to fraction form
    144.89/301.73 = 301.73/x
  3. Step 3: Cross multiply
    144.89x = 301.73 × 301.73
  4. Step 4: Simplify right side
    144.89x = 91,043.63
  5. Step 5: Solve for x
    x = 91,043.63/144.89
  6. Step 6: Final answer
    x = 628.36

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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.