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Finding the Third Proportional to 160.75 and 177.63

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Solution

The third proportional to 160.75 and 177.63 is: 196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.75 : 177.63 = 177.63 : x
  2. Step 2: Convert to fraction form
    160.75/177.63 = 177.63/x
  3. Step 3: Cross multiply
    160.75x = 177.63 × 177.63
  4. Step 4: Simplify right side
    160.75x = 31,550.64
  5. Step 5: Solve for x
    x = 31,550.64/160.75
  6. Step 6: Final answer
    x = 196.27

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.