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Finding the Third Proportional to 214,812 and 331,938

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Solution

The third proportional to 214,812 and 331,938 is: 512,926.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,812 : 331,938 = 331,938 : x
  2. Step 2: Convert to fraction form
    214,812/331,938 = 331,938/x
  3. Step 3: Cross multiply
    214,812x = 331,938 × 331,938
  4. Step 4: Simplify right side
    214,812x = 110,182,835,844
  5. Step 5: Solve for x
    x = 110,182,835,844/214,812
  6. Step 6: Final answer
    x = 512,926.82

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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.