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Finding the Third Proportional to 203,498 and 442,018

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Solution

The third proportional to 203,498 and 442,018 is: 960,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,498 : 442,018 = 442,018 : x
  2. Step 2: Convert to fraction form
    203,498/442,018 = 442,018/x
  3. Step 3: Cross multiply
    203,498x = 442,018 × 442,018
  4. Step 4: Simplify right side
    203,498x = 195,379,912,324
  5. Step 5: Solve for x
    x = 195,379,912,324/203,498
  6. Step 6: Final answer
    x = 960,107.29

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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.