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Finding the Third Proportional to 200,741 and 273,422

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Solution

The third proportional to 200,741 and 273,422 is: 372,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,741 : 273,422 = 273,422 : x
  2. Step 2: Convert to fraction form
    200,741/273,422 = 273,422/x
  3. Step 3: Cross multiply
    200,741x = 273,422 × 273,422
  4. Step 4: Simplify right side
    200,741x = 74,759,590,084
  5. Step 5: Solve for x
    x = 74,759,590,084/200,741
  6. Step 6: Final answer
    x = 372,418.14

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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.