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Finding the Third Proportional to 156,951 and 339,660

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Solution

The third proportional to 156,951 and 339,660 is: 735,063.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,951 : 339,660 = 339,660 : x
  2. Step 2: Convert to fraction form
    156,951/339,660 = 339,660/x
  3. Step 3: Cross multiply
    156,951x = 339,660 × 339,660
  4. Step 4: Simplify right side
    156,951x = 115,368,915,600
  5. Step 5: Solve for x
    x = 115,368,915,600/156,951
  6. Step 6: Final answer
    x = 735,063.27

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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.