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Finding the Third Proportional to 154,227 and 225,549

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Solution

The third proportional to 154,227 and 225,549 is: 329,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,227 : 225,549 = 225,549 : x
  2. Step 2: Convert to fraction form
    154,227/225,549 = 225,549/x
  3. Step 3: Cross multiply
    154,227x = 225,549 × 225,549
  4. Step 4: Simplify right side
    154,227x = 50,872,351,401
  5. Step 5: Solve for x
    x = 50,872,351,401/154,227
  6. Step 6: Final answer
    x = 329,853.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.