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Finding the Third Proportional to 200,963.75 and 442,408.38

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Solution

The third proportional to 200,963.75 and 442,408.38 is: 973,932.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,963.75 : 442,408.38 = 442,408.38 : x
  2. Step 2: Convert to fraction form
    200,963.75/442,408.38 = 442,408.38/x
  3. Step 3: Cross multiply
    200,963.75x = 442,408.38 × 442,408.38
  4. Step 4: Simplify right side
    200,963.75x = 195,725,170,270.14
  5. Step 5: Solve for x
    x = 195,725,170,270.14/200,963.75
  6. Step 6: Final answer
    x = 973,932.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.