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Finding the Third Proportional to 70.22 and 150.73

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Solution

The third proportional to 70.22 and 150.73 is: 323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.22 : 150.73 = 150.73 : x
  2. Step 2: Convert to fraction form
    70.22/150.73 = 150.73/x
  3. Step 3: Cross multiply
    70.22x = 150.73 × 150.73
  4. Step 4: Simplify right side
    70.22x = 22,718.50
  5. Step 5: Solve for x
    x = 22,718.50/70.22
  6. Step 6: Final answer
    x = 323.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.