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Finding the Third Proportional to 179,491 and 388,698

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Solution

The third proportional to 179,491 and 388,698 is: 841,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,491 : 388,698 = 388,698 : x
  2. Step 2: Convert to fraction form
    179,491/388,698 = 388,698/x
  3. Step 3: Cross multiply
    179,491x = 388,698 × 388,698
  4. Step 4: Simplify right side
    179,491x = 151,086,135,204
  5. Step 5: Solve for x
    x = 151,086,135,204/179,491
  6. Step 6: Final answer
    x = 841,747.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.