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Finding the Third Proportional to 200,675 and 273,331

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Solution

The third proportional to 200,675 and 273,331 is: 372,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,675 : 273,331 = 273,331 : x
  2. Step 2: Convert to fraction form
    200,675/273,331 = 273,331/x
  3. Step 3: Cross multiply
    200,675x = 273,331 × 273,331
  4. Step 4: Simplify right side
    200,675x = 74,709,835,561
  5. Step 5: Solve for x
    x = 74,709,835,561/200,675
  6. Step 6: Final answer
    x = 372,292.69

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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.