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Finding the Third Proportional to 159,896 and 344,696

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Solution

The third proportional to 159,896 and 344,696 is: 743,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,896 : 344,696 = 344,696 : x
  2. Step 2: Convert to fraction form
    159,896/344,696 = 344,696/x
  3. Step 3: Cross multiply
    159,896x = 344,696 × 344,696
  4. Step 4: Simplify right side
    159,896x = 118,815,332,416
  5. Step 5: Solve for x
    x = 118,815,332,416/159,896
  6. Step 6: Final answer
    x = 743,078.83

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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.