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Finding the Third Proportional to 214,596 and 331,757

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Solution

The third proportional to 214,596 and 331,757 is: 512,883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,596 : 331,757 = 331,757 : x
  2. Step 2: Convert to fraction form
    214,596/331,757 = 331,757/x
  3. Step 3: Cross multiply
    214,596x = 331,757 × 331,757
  4. Step 4: Simplify right side
    214,596x = 110,062,707,049
  5. Step 5: Solve for x
    x = 110,062,707,049/214,596
  6. Step 6: Final answer
    x = 512,883.31

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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.