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Finding the Third Proportional to 150 and 220.59

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Solution

The third proportional to 150 and 220.59 is: 324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150 : 220.59 = 220.59 : x
  2. Step 2: Convert to fraction form
    150/220.59 = 220.59/x
  3. Step 3: Cross multiply
    150x = 220.59 × 220.59
  4. Step 4: Simplify right side
    150x = 48,661.60
  5. Step 5: Solve for x
    x = 48,661.60/150
  6. Step 6: Final answer
    x = 324.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.