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Finding the Third Proportional to 193.06 and 306.97

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Solution

The third proportional to 193.06 and 306.97 is: 488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.06 : 306.97 = 306.97 : x
  2. Step 2: Convert to fraction form
    193.06/306.97 = 306.97/x
  3. Step 3: Cross multiply
    193.06x = 306.97 × 306.97
  4. Step 4: Simplify right side
    193.06x = 94,229.63
  5. Step 5: Solve for x
    x = 94,229.63/193.06
  6. Step 6: Final answer
    x = 488.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.