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Finding the Third Proportional to 87,434 and 188,827

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Solution

The third proportional to 87,434 and 188,827 is: 407,800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,434 : 188,827 = 188,827 : x
  2. Step 2: Convert to fraction form
    87,434/188,827 = 188,827/x
  3. Step 3: Cross multiply
    87,434x = 188,827 × 188,827
  4. Step 4: Simplify right side
    87,434x = 35,655,635,929
  5. Step 5: Solve for x
    x = 35,655,635,929/87,434
  6. Step 6: Final answer
    x = 407,800.58

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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.