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Finding the Third Proportional to 156,969 and 339,696

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Solution

The third proportional to 156,969 and 339,696 is: 735,134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,969 : 339,696 = 339,696 : x
  2. Step 2: Convert to fraction form
    156,969/339,696 = 339,696/x
  3. Step 3: Cross multiply
    156,969x = 339,696 × 339,696
  4. Step 4: Simplify right side
    156,969x = 115,393,372,416
  5. Step 5: Solve for x
    x = 115,393,372,416/156,969
  6. Step 6: Final answer
    x = 735,134.79

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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.