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Finding the Third Proportional to 144.52 and 218.56

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Solution

The third proportional to 144.52 and 218.56 is: 330.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.52 : 218.56 = 218.56 : x
  2. Step 2: Convert to fraction form
    144.52/218.56 = 218.56/x
  3. Step 3: Cross multiply
    144.52x = 218.56 × 218.56
  4. Step 4: Simplify right side
    144.52x = 47,767.43
  5. Step 5: Solve for x
    x = 47,767.43/144.52
  6. Step 6: Final answer
    x = 330.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.