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Finding the Third Proportional to 156,096 and 331,629

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Solution

The third proportional to 156,096 and 331,629 is: 704,552.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,096 : 331,629 = 331,629 : x
  2. Step 2: Convert to fraction form
    156,096/331,629 = 331,629/x
  3. Step 3: Cross multiply
    156,096x = 331,629 × 331,629
  4. Step 4: Simplify right side
    156,096x = 109,977,793,641
  5. Step 5: Solve for x
    x = 109,977,793,641/156,096
  6. Step 6: Final answer
    x = 704,552.29

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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.