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Finding the Third Proportional to 150.19 and 182.91

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Solution

The third proportional to 150.19 and 182.91 is: 222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.19 : 182.91 = 182.91 : x
  2. Step 2: Convert to fraction form
    150.19/182.91 = 182.91/x
  3. Step 3: Cross multiply
    150.19x = 182.91 × 182.91
  4. Step 4: Simplify right side
    150.19x = 33,454.70
  5. Step 5: Solve for x
    x = 33,454.70/150.19
  6. Step 6: Final answer
    x = 222.75

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.