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Finding the Third Proportional to 188,025.75 and 283,632.75

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Solution

The third proportional to 188,025.75 and 283,632.75 is: 427,853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,025.75 : 283,632.75 = 283,632.75 : x
  2. Step 2: Convert to fraction form
    188,025.75/283,632.75 = 283,632.75/x
  3. Step 3: Cross multiply
    188,025.75x = 283,632.75 × 283,632.75
  4. Step 4: Simplify right side
    188,025.75x = 80,447,536,872.56
  5. Step 5: Solve for x
    x = 80,447,536,872.56/188,025.75
  6. Step 6: Final answer
    x = 427,853.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.