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Finding the Third Proportional to 194.43 and 301.06

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Solution

The third proportional to 194.43 and 301.06 is: 466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.43 : 301.06 = 301.06 : x
  2. Step 2: Convert to fraction form
    194.43/301.06 = 301.06/x
  3. Step 3: Cross multiply
    194.43x = 301.06 × 301.06
  4. Step 4: Simplify right side
    194.43x = 90,637.45
  5. Step 5: Solve for x
    x = 90,637.45/194.43
  6. Step 6: Final answer
    x = 466.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.