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Finding the Third Proportional to 204,768 and 328,698

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Solution

The third proportional to 204,768 and 328,698 is: 527,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,768 : 328,698 = 328,698 : x
  2. Step 2: Convert to fraction form
    204,768/328,698 = 328,698/x
  3. Step 3: Cross multiply
    204,768x = 328,698 × 328,698
  4. Step 4: Simplify right side
    204,768x = 108,042,375,204
  5. Step 5: Solve for x
    x = 108,042,375,204/204,768
  6. Step 6: Final answer
    x = 527,633.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.