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Finding the Third Proportional to 80,704 and 159,341

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Solution

The third proportional to 80,704 and 159,341 is: 314,600.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,704 : 159,341 = 159,341 : x
  2. Step 2: Convert to fraction form
    80,704/159,341 = 159,341/x
  3. Step 3: Cross multiply
    80,704x = 159,341 × 159,341
  4. Step 4: Simplify right side
    80,704x = 25,389,554,281
  5. Step 5: Solve for x
    x = 25,389,554,281/80,704
  6. Step 6: Final answer
    x = 314,600.94

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.