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Finding the Third Proportional to 195.06 and 418.61

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Solution

The third proportional to 195.06 and 418.61 is: 898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.06 : 418.61 = 418.61 : x
  2. Step 2: Convert to fraction form
    195.06/418.61 = 418.61/x
  3. Step 3: Cross multiply
    195.06x = 418.61 × 418.61
  4. Step 4: Simplify right side
    195.06x = 175,230.54
  5. Step 5: Solve for x
    x = 175,230.54/195.06
  6. Step 6: Final answer
    x = 898.32

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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.