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Finding the Third Proportional to 155.25 and 235.31

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Solution

The third proportional to 155.25 and 235.31 is: 356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.25 : 235.31 = 235.31 : x
  2. Step 2: Convert to fraction form
    155.25/235.31 = 235.31/x
  3. Step 3: Cross multiply
    155.25x = 235.31 × 235.31
  4. Step 4: Simplify right side
    155.25x = 55,371.97
  5. Step 5: Solve for x
    x = 55,371.97/155.25
  6. Step 6: Final answer
    x = 356.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.