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Finding the Third Proportional to 140,517 and 227,725

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Solution

The third proportional to 140,517 and 227,725 is: 369,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,517 : 227,725 = 227,725 : x
  2. Step 2: Convert to fraction form
    140,517/227,725 = 227,725/x
  3. Step 3: Cross multiply
    140,517x = 227,725 × 227,725
  4. Step 4: Simplify right side
    140,517x = 51,858,675,625
  5. Step 5: Solve for x
    x = 51,858,675,625/140,517
  6. Step 6: Final answer
    x = 369,056.24

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.