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Finding the Third Proportional to 156,791 and 344,795

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Solution

The third proportional to 156,791 and 344,795 is: 758,229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,791 : 344,795 = 344,795 : x
  2. Step 2: Convert to fraction form
    156,791/344,795 = 344,795/x
  3. Step 3: Cross multiply
    156,791x = 344,795 × 344,795
  4. Step 4: Simplify right side
    156,791x = 118,883,592,025
  5. Step 5: Solve for x
    x = 118,883,592,025/156,791
  6. Step 6: Final answer
    x = 758,229.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.