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Finding the Third Proportional to 156,795 and 344,803

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Solution

The third proportional to 156,795 and 344,803 is: 758,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,795 : 344,803 = 344,803 : x
  2. Step 2: Convert to fraction form
    156,795/344,803 = 344,803/x
  3. Step 3: Cross multiply
    156,795x = 344,803 × 344,803
  4. Step 4: Simplify right side
    156,795x = 118,889,108,809
  5. Step 5: Solve for x
    x = 118,889,108,809/156,795
  6. Step 6: Final answer
    x = 758,245.54

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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.