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Finding the Third Proportional to 95.41 and 205.52

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Solution

The third proportional to 95.41 and 205.52 is: 442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.41 : 205.52 = 205.52 : x
  2. Step 2: Convert to fraction form
    95.41/205.52 = 205.52/x
  3. Step 3: Cross multiply
    95.41x = 205.52 × 205.52
  4. Step 4: Simplify right side
    95.41x = 42,239.88
  5. Step 5: Solve for x
    x = 42,239.88/95.41
  6. Step 6: Final answer
    x = 442.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.