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Finding the Third Proportional to 173,384 and 372,634

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Solution

The third proportional to 173,384 and 372,634 is: 800,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,384 : 372,634 = 372,634 : x
  2. Step 2: Convert to fraction form
    173,384/372,634 = 372,634/x
  3. Step 3: Cross multiply
    173,384x = 372,634 × 372,634
  4. Step 4: Simplify right side
    173,384x = 138,856,097,956
  5. Step 5: Solve for x
    x = 138,856,097,956/173,384
  6. Step 6: Final answer
    x = 800,858.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.