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Finding the Third Proportional to 250,722 and 547,182

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Solution

The third proportional to 250,722 and 547,182 is: 1,194,183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,722 : 547,182 = 547,182 : x
  2. Step 2: Convert to fraction form
    250,722/547,182 = 547,182/x
  3. Step 3: Cross multiply
    250,722x = 547,182 × 547,182
  4. Step 4: Simplify right side
    250,722x = 299,408,141,124
  5. Step 5: Solve for x
    x = 299,408,141,124/250,722
  6. Step 6: Final answer
    x = 1,194,183.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.