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Finding the Third Proportional to 395.11 and 852.16

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Solution

The third proportional to 395.11 and 852.16 is: 1,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.11 : 852.16 = 852.16 : x
  2. Step 2: Convert to fraction form
    395.11/852.16 = 852.16/x
  3. Step 3: Cross multiply
    395.11x = 852.16 × 852.16
  4. Step 4: Simplify right side
    395.11x = 726,178.60
  5. Step 5: Solve for x
    x = 726,178.60/395.11
  6. Step 6: Final answer
    x = 1,837.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.