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Finding the Third Proportional to 200,943 and 273,651

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Solution

The third proportional to 200,943 and 273,651 is: 372,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,943 : 273,651 = 273,651 : x
  2. Step 2: Convert to fraction form
    200,943/273,651 = 273,651/x
  3. Step 3: Cross multiply
    200,943x = 273,651 × 273,651
  4. Step 4: Simplify right side
    200,943x = 74,884,869,801
  5. Step 5: Solve for x
    x = 74,884,869,801/200,943
  6. Step 6: Final answer
    x = 372,667.22

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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.