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Finding the Third Proportional to 250,353 and 543,177

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Solution

The third proportional to 250,353 and 543,177 is: 1,178,500.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,353 : 543,177 = 543,177 : x
  2. Step 2: Convert to fraction form
    250,353/543,177 = 543,177/x
  3. Step 3: Cross multiply
    250,353x = 543,177 × 543,177
  4. Step 4: Simplify right side
    250,353x = 295,041,253,329
  5. Step 5: Solve for x
    x = 295,041,253,329/250,353
  6. Step 6: Final answer
    x = 1,178,500.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.