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Finding the Third Proportional to 193.50 and 303.19

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Solution

The third proportional to 193.50 and 303.19 is: 475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.50 : 303.19 = 303.19 : x
  2. Step 2: Convert to fraction form
    193.50/303.19 = 303.19/x
  3. Step 3: Cross multiply
    193.50x = 303.19 × 303.19
  4. Step 4: Simplify right side
    193.50x = 91,922.66
  5. Step 5: Solve for x
    x = 91,922.66/193.50
  6. Step 6: Final answer
    x = 475.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.