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Finding the Third Proportional to 194.06 and 455.06

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Solution

The third proportional to 194.06 and 455.06 is: 1,067.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.06 : 455.06 = 455.06 : x
  2. Step 2: Convert to fraction form
    194.06/455.06 = 455.06/x
  3. Step 3: Cross multiply
    194.06x = 455.06 × 455.06
  4. Step 4: Simplify right side
    194.06x = 207,081.88
  5. Step 5: Solve for x
    x = 207,081.88/194.06
  6. Step 6: Final answer
    x = 1,067.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.