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Finding the Third Proportional to 87,379 and 189,040

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Solution

The third proportional to 87,379 and 189,040 is: 408,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,379 : 189,040 = 189,040 : x
  2. Step 2: Convert to fraction form
    87,379/189,040 = 189,040/x
  3. Step 3: Cross multiply
    87,379x = 189,040 × 189,040
  4. Step 4: Simplify right side
    87,379x = 35,736,121,600
  5. Step 5: Solve for x
    x = 35,736,121,600/87,379
  6. Step 6: Final answer
    x = 408,978.38

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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.