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Finding the Third Proportional to 151,154 and 225,941

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Solution

The third proportional to 151,154 and 225,941 is: 337,730.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,154 : 225,941 = 225,941 : x
  2. Step 2: Convert to fraction form
    151,154/225,941 = 225,941/x
  3. Step 3: Cross multiply
    151,154x = 225,941 × 225,941
  4. Step 4: Simplify right side
    151,154x = 51,049,335,481
  5. Step 5: Solve for x
    x = 51,049,335,481/151,154
  6. Step 6: Final answer
    x = 337,730.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.