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Finding the Third Proportional to 118.50 and 197.63

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Solution

The third proportional to 118.50 and 197.63 is: 329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.50 : 197.63 = 197.63 : x
  2. Step 2: Convert to fraction form
    118.50/197.63 = 197.63/x
  3. Step 3: Cross multiply
    118.50x = 197.63 × 197.63
  4. Step 4: Simplify right side
    118.50x = 39,055.64
  5. Step 5: Solve for x
    x = 39,055.64/118.50
  6. Step 6: Final answer
    x = 329.58

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.