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Finding the Third Proportional to 169 and 194.50

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Solution

The third proportional to 169 and 194.50 is: 223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169 : 194.50 = 194.50 : x
  2. Step 2: Convert to fraction form
    169/194.50 = 194.50/x
  3. Step 3: Cross multiply
    169x = 194.50 × 194.50
  4. Step 4: Simplify right side
    169x = 37,830.25
  5. Step 5: Solve for x
    x = 37,830.25/169
  6. Step 6: Final answer
    x = 223.85

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.