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Finding the Third Proportional to 188,163.16 and 274,331.81

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Solution

The third proportional to 188,163.16 and 274,331.81 is: 399,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,163.16 : 274,331.81 = 274,331.81 : x
  2. Step 2: Convert to fraction form
    188,163.16/274,331.81 = 274,331.81/x
  3. Step 3: Cross multiply
    188,163.16x = 274,331.81 × 274,331.81
  4. Step 4: Simplify right side
    188,163.16x = 75,257,943,349.54
  5. Step 5: Solve for x
    x = 75,257,943,349.54/188,163.16
  6. Step 6: Final answer
    x = 399,961.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.