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Finding the Third Proportional to 175,698 and 383,198

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Solution

The third proportional to 175,698 and 383,198 is: 835,756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,698 : 383,198 = 383,198 : x
  2. Step 2: Convert to fraction form
    175,698/383,198 = 383,198/x
  3. Step 3: Cross multiply
    175,698x = 383,198 × 383,198
  4. Step 4: Simplify right side
    175,698x = 146,840,707,204
  5. Step 5: Solve for x
    x = 146,840,707,204/175,698
  6. Step 6: Final answer
    x = 835,756.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.