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Finding the Third Proportional to 225,839 and 330,277

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Solution

The third proportional to 225,839 and 330,277 is: 483,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,839 : 330,277 = 330,277 : x
  2. Step 2: Convert to fraction form
    225,839/330,277 = 330,277/x
  3. Step 3: Cross multiply
    225,839x = 330,277 × 330,277
  4. Step 4: Simplify right side
    225,839x = 109,082,896,729
  5. Step 5: Solve for x
    x = 109,082,896,729/225,839
  6. Step 6: Final answer
    x = 483,011.78

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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.