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Finding the Third Proportional to 203,767 and 442,525

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Solution

The third proportional to 203,767 and 442,525 is: 961,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,767 : 442,525 = 442,525 : x
  2. Step 2: Convert to fraction form
    203,767/442,525 = 442,525/x
  3. Step 3: Cross multiply
    203,767x = 442,525 × 442,525
  4. Step 4: Simplify right side
    203,767x = 195,828,375,625
  5. Step 5: Solve for x
    x = 195,828,375,625/203,767
  6. Step 6: Final answer
    x = 961,040.68

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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.