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Finding the Third Proportional to 194.25 and 304.75

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Solution

The third proportional to 194.25 and 304.75 is: 478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.25 : 304.75 = 304.75 : x
  2. Step 2: Convert to fraction form
    194.25/304.75 = 304.75/x
  3. Step 3: Cross multiply
    194.25x = 304.75 × 304.75
  4. Step 4: Simplify right side
    194.25x = 92,872.56
  5. Step 5: Solve for x
    x = 92,872.56/194.25
  6. Step 6: Final answer
    x = 478.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.