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Finding the Third Proportional to 200,941 and 273,648

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Solution

The third proportional to 200,941 and 273,648 is: 372,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,941 : 273,648 = 273,648 : x
  2. Step 2: Convert to fraction form
    200,941/273,648 = 273,648/x
  3. Step 3: Cross multiply
    200,941x = 273,648 × 273,648
  4. Step 4: Simplify right side
    200,941x = 74,883,227,904
  5. Step 5: Solve for x
    x = 74,883,227,904/200,941
  6. Step 6: Final answer
    x = 372,662.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.