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Finding the Third Proportional to 87,285 and 188,494.50

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Solution

The third proportional to 87,285 and 188,494.50 is: 407,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,285 : 188,494.50 = 188,494.50 : x
  2. Step 2: Convert to fraction form
    87,285/188,494.50 = 188,494.50/x
  3. Step 3: Cross multiply
    87,285x = 188,494.50 × 188,494.50
  4. Step 4: Simplify right side
    87,285x = 35,530,176,530.25
  5. Step 5: Solve for x
    x = 35,530,176,530.25/87,285
  6. Step 6: Final answer
    x = 407,059.36

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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.