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Finding the Third Proportional to 192,552.82 and 410,865.54

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Solution

The third proportional to 192,552.82 and 410,865.54 is: 876,697.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,552.82 : 410,865.54 = 410,865.54 : x
  2. Step 2: Convert to fraction form
    192,552.82/410,865.54 = 410,865.54/x
  3. Step 3: Cross multiply
    192,552.82x = 410,865.54 × 410,865.54
  4. Step 4: Simplify right side
    192,552.82x = 168,810,491,189.12
  5. Step 5: Solve for x
    x = 168,810,491,189.12/192,552.82
  6. Step 6: Final answer
    x = 876,697.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.