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Finding the Third Proportional to 171,388 and 369,092

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Solution

The third proportional to 171,388 and 369,092 is: 794,856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,388 : 369,092 = 369,092 : x
  2. Step 2: Convert to fraction form
    171,388/369,092 = 369,092/x
  3. Step 3: Cross multiply
    171,388x = 369,092 × 369,092
  4. Step 4: Simplify right side
    171,388x = 136,228,904,464
  5. Step 5: Solve for x
    x = 136,228,904,464/171,388
  6. Step 6: Final answer
    x = 794,856.73

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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.