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Finding the Third Proportional to 76.22 and 160.88

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Solution

The third proportional to 76.22 and 160.88 is: 339.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.22 : 160.88 = 160.88 : x
  2. Step 2: Convert to fraction form
    76.22/160.88 = 160.88/x
  3. Step 3: Cross multiply
    76.22x = 160.88 × 160.88
  4. Step 4: Simplify right side
    76.22x = 25,880.77
  5. Step 5: Solve for x
    x = 25,880.77/76.22
  6. Step 6: Final answer
    x = 339.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.