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Finding the Third Proportional to 73.44 and 160.94

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Solution

The third proportional to 73.44 and 160.94 is: 352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.44 : 160.94 = 160.94 : x
  2. Step 2: Convert to fraction form
    73.44/160.94 = 160.94/x
  3. Step 3: Cross multiply
    73.44x = 160.94 × 160.94
  4. Step 4: Simplify right side
    73.44x = 25,900.88
  5. Step 5: Solve for x
    x = 25,900.88/73.44
  6. Step 6: Final answer
    x = 352.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.