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Finding the Third Proportional to 150.94 and 235.31

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Solution

The third proportional to 150.94 and 235.31 is: 366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.94 : 235.31 = 235.31 : x
  2. Step 2: Convert to fraction form
    150.94/235.31 = 235.31/x
  3. Step 3: Cross multiply
    150.94x = 235.31 × 235.31
  4. Step 4: Simplify right side
    150.94x = 55,371.97
  5. Step 5: Solve for x
    x = 55,371.97/150.94
  6. Step 6: Final answer
    x = 366.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.