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Finding the Third Proportional to 70.73 and 152.86

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Solution

The third proportional to 70.73 and 152.86 is: 330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.73 : 152.86 = 152.86 : x
  2. Step 2: Convert to fraction form
    70.73/152.86 = 152.86/x
  3. Step 3: Cross multiply
    70.73x = 152.86 × 152.86
  4. Step 4: Simplify right side
    70.73x = 23,365.99
  5. Step 5: Solve for x
    x = 23,365.99/70.73
  6. Step 6: Final answer
    x = 330.33

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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.