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Finding the Third Proportional to 193.17 and 416.23

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Solution

The third proportional to 193.17 and 416.23 is: 896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.17 : 416.23 = 416.23 : x
  2. Step 2: Convert to fraction form
    193.17/416.23 = 416.23/x
  3. Step 3: Cross multiply
    193.17x = 416.23 × 416.23
  4. Step 4: Simplify right side
    193.17x = 173,249.43
  5. Step 5: Solve for x
    x = 173,249.43/193.17
  6. Step 6: Final answer
    x = 896.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.