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Finding the Third Proportional to 160.69 and 208.88

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Solution

The third proportional to 160.69 and 208.88 is: 271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.69 : 208.88 = 208.88 : x
  2. Step 2: Convert to fraction form
    160.69/208.88 = 208.88/x
  3. Step 3: Cross multiply
    160.69x = 208.88 × 208.88
  4. Step 4: Simplify right side
    160.69x = 43,628.77
  5. Step 5: Solve for x
    x = 43,628.77/160.69
  6. Step 6: Final answer
    x = 271.51

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.