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Finding the Third Proportional to 193.78 and 302.06

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Solution

The third proportional to 193.78 and 302.06 is: 470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.78 : 302.06 = 302.06 : x
  2. Step 2: Convert to fraction form
    193.78/302.06 = 302.06/x
  3. Step 3: Cross multiply
    193.78x = 302.06 × 302.06
  4. Step 4: Simplify right side
    193.78x = 91,241.75
  5. Step 5: Solve for x
    x = 91,241.75/193.78
  6. Step 6: Final answer
    x = 470.85

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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.