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Finding the Third Proportional to 156,098 and 331,634

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Solution

The third proportional to 156,098 and 331,634 is: 704,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,098 : 331,634 = 331,634 : x
  2. Step 2: Convert to fraction form
    156,098/331,634 = 331,634/x
  3. Step 3: Cross multiply
    156,098x = 331,634 × 331,634
  4. Step 4: Simplify right side
    156,098x = 109,981,109,956
  5. Step 5: Solve for x
    x = 109,981,109,956/156,098
  6. Step 6: Final answer
    x = 704,564.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.