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Finding the Third Proportional to 214,916 and 331,395

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Solution

The third proportional to 214,916 and 331,395 is: 511,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,916 : 331,395 = 331,395 : x
  2. Step 2: Convert to fraction form
    214,916/331,395 = 331,395/x
  3. Step 3: Cross multiply
    214,916x = 331,395 × 331,395
  4. Step 4: Simplify right side
    214,916x = 109,822,646,025
  5. Step 5: Solve for x
    x = 109,822,646,025/214,916
  6. Step 6: Final answer
    x = 511,002.65

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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.