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Finding the Third Proportional to 214,914 and 331,392

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Solution

The third proportional to 214,914 and 331,392 is: 510,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,914 : 331,392 = 331,392 : x
  2. Step 2: Convert to fraction form
    214,914/331,392 = 331,392/x
  3. Step 3: Cross multiply
    214,914x = 331,392 × 331,392
  4. Step 4: Simplify right side
    214,914x = 109,820,657,664
  5. Step 5: Solve for x
    x = 109,820,657,664/214,914
  6. Step 6: Final answer
    x = 510,998.16

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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.