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Finding the Third Proportional to 168,689 and 349,314

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Solution

The third proportional to 168,689 and 349,314 is: 723,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,689 : 349,314 = 349,314 : x
  2. Step 2: Convert to fraction form
    168,689/349,314 = 349,314/x
  3. Step 3: Cross multiply
    168,689x = 349,314 × 349,314
  4. Step 4: Simplify right side
    168,689x = 122,020,270,596
  5. Step 5: Solve for x
    x = 122,020,270,596/168,689
  6. Step 6: Final answer
    x = 723,344.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.