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Finding the Third Proportional to 214,017 and 331,215

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Solution

The third proportional to 214,017 and 331,215 is: 512,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,017 : 331,215 = 331,215 : x
  2. Step 2: Convert to fraction form
    214,017/331,215 = 331,215/x
  3. Step 3: Cross multiply
    214,017x = 331,215 × 331,215
  4. Step 4: Simplify right side
    214,017x = 109,703,376,225
  5. Step 5: Solve for x
    x = 109,703,376,225/214,017
  6. Step 6: Final answer
    x = 512,591.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.