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Finding the Third Proportional to 155.06 and 334.31

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Solution

The third proportional to 155.06 and 334.31 is: 720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.06 : 334.31 = 334.31 : x
  2. Step 2: Convert to fraction form
    155.06/334.31 = 334.31/x
  3. Step 3: Cross multiply
    155.06x = 334.31 × 334.31
  4. Step 4: Simplify right side
    155.06x = 111,764.85
  5. Step 5: Solve for x
    x = 111,764.85/155.06
  6. Step 6: Final answer
    x = 720.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.