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Finding the Third Proportional to 193.50 and 258.19

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Solution

The third proportional to 193.50 and 258.19 is: 344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.50 : 258.19 = 258.19 : x
  2. Step 2: Convert to fraction form
    193.50/258.19 = 258.19/x
  3. Step 3: Cross multiply
    193.50x = 258.19 × 258.19
  4. Step 4: Simplify right side
    193.50x = 66,660.79
  5. Step 5: Solve for x
    x = 66,660.79/193.50
  6. Step 6: Final answer
    x = 344.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.