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Finding the Third Proportional to 193.19 and 301.56

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Solution

The third proportional to 193.19 and 301.56 is: 470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.19 : 301.56 = 301.56 : x
  2. Step 2: Convert to fraction form
    193.19/301.56 = 301.56/x
  3. Step 3: Cross multiply
    193.19x = 301.56 × 301.56
  4. Step 4: Simplify right side
    193.19x = 90,939.94
  5. Step 5: Solve for x
    x = 90,939.94/193.19
  6. Step 6: Final answer
    x = 470.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.