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Finding the Third Proportional to 150.75 and 408.94

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Solution

The third proportional to 150.75 and 408.94 is: 1,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.75 : 408.94 = 408.94 : x
  2. Step 2: Convert to fraction form
    150.75/408.94 = 408.94/x
  3. Step 3: Cross multiply
    150.75x = 408.94 × 408.94
  4. Step 4: Simplify right side
    150.75x = 167,229.88
  5. Step 5: Solve for x
    x = 167,229.88/150.75
  6. Step 6: Final answer
    x = 1,109.32

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.