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Finding the Third Proportional to 194.91 and 287.30

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Solution

The third proportional to 194.91 and 287.30 is: 423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.91 : 287.30 = 287.30 : x
  2. Step 2: Convert to fraction form
    194.91/287.30 = 287.30/x
  3. Step 3: Cross multiply
    194.91x = 287.30 × 287.30
  4. Step 4: Simplify right side
    194.91x = 82,539.49
  5. Step 5: Solve for x
    x = 82,539.49/194.91
  6. Step 6: Final answer
    x = 423.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.