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Finding the Third Proportional to 156,099 and 331,635

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Solution

The third proportional to 156,099 and 331,635 is: 704,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,099 : 331,635 = 331,635 : x
  2. Step 2: Convert to fraction form
    156,099/331,635 = 331,635/x
  3. Step 3: Cross multiply
    156,099x = 331,635 × 331,635
  4. Step 4: Simplify right side
    156,099x = 109,981,773,225
  5. Step 5: Solve for x
    x = 109,981,773,225/156,099
  6. Step 6: Final answer
    x = 704,564.24

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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.