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Finding the Third Proportional to 174,252 and 374,384

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Solution

The third proportional to 174,252 and 374,384 is: 804,371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,252 : 374,384 = 374,384 : x
  2. Step 2: Convert to fraction form
    174,252/374,384 = 374,384/x
  3. Step 3: Cross multiply
    174,252x = 374,384 × 374,384
  4. Step 4: Simplify right side
    174,252x = 140,163,379,456
  5. Step 5: Solve for x
    x = 140,163,379,456/174,252
  6. Step 6: Final answer
    x = 804,371.71

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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.