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Finding the Third Proportional to 156,961 and 339,071

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Solution

The third proportional to 156,961 and 339,071 is: 732,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,961 : 339,071 = 339,071 : x
  2. Step 2: Convert to fraction form
    156,961/339,071 = 339,071/x
  3. Step 3: Cross multiply
    156,961x = 339,071 × 339,071
  4. Step 4: Simplify right side
    156,961x = 114,969,143,041
  5. Step 5: Solve for x
    x = 114,969,143,041/156,961
  6. Step 6: Final answer
    x = 732,469.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.