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Finding the Third Proportional to 193.88 and 416.06

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Solution

The third proportional to 193.88 and 416.06 is: 892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.88 : 416.06 = 416.06 : x
  2. Step 2: Convert to fraction form
    193.88/416.06 = 416.06/x
  3. Step 3: Cross multiply
    193.88x = 416.06 × 416.06
  4. Step 4: Simplify right side
    193.88x = 173,108.00
  5. Step 5: Solve for x
    x = 173,108.00/193.88
  6. Step 6: Final answer
    x = 892.88

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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.