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Finding the Third Proportional to 219,684 and 331,956

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Solution

The third proportional to 219,684 and 331,956 is: 501,605.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,684 : 331,956 = 331,956 : x
  2. Step 2: Convert to fraction form
    219,684/331,956 = 331,956/x
  3. Step 3: Cross multiply
    219,684x = 331,956 × 331,956
  4. Step 4: Simplify right side
    219,684x = 110,194,785,936
  5. Step 5: Solve for x
    x = 110,194,785,936/219,684
  6. Step 6: Final answer
    x = 501,605.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.