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Finding the Third Proportional to 195.72 and 302.11

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Solution

The third proportional to 195.72 and 302.11 is: 466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.72 : 302.11 = 302.11 : x
  2. Step 2: Convert to fraction form
    195.72/302.11 = 302.11/x
  3. Step 3: Cross multiply
    195.72x = 302.11 × 302.11
  4. Step 4: Simplify right side
    195.72x = 91,270.07
  5. Step 5: Solve for x
    x = 91,270.07/195.72
  6. Step 6: Final answer
    x = 466.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.