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Finding the Third Proportional to 212,857 and 327,273

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Solution

The third proportional to 212,857 and 327,273 is: 503,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,857 : 327,273 = 327,273 : x
  2. Step 2: Convert to fraction form
    212,857/327,273 = 327,273/x
  3. Step 3: Cross multiply
    212,857x = 327,273 × 327,273
  4. Step 4: Simplify right side
    212,857x = 107,107,616,529
  5. Step 5: Solve for x
    x = 107,107,616,529/212,857
  6. Step 6: Final answer
    x = 503,190.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.