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Finding the Third Proportional to 150.94 and 360.47

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Solution

The third proportional to 150.94 and 360.47 is: 860.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.94 : 360.47 = 360.47 : x
  2. Step 2: Convert to fraction form
    150.94/360.47 = 360.47/x
  3. Step 3: Cross multiply
    150.94x = 360.47 × 360.47
  4. Step 4: Simplify right side
    150.94x = 129,937.72
  5. Step 5: Solve for x
    x = 129,937.72/150.94
  6. Step 6: Final answer
    x = 860.87

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.