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Finding the Third Proportional to 200,938 and 273,642

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Solution

The third proportional to 200,938 and 273,642 is: 372,651.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,938 : 273,642 = 273,642 : x
  2. Step 2: Convert to fraction form
    200,938/273,642 = 273,642/x
  3. Step 3: Cross multiply
    200,938x = 273,642 × 273,642
  4. Step 4: Simplify right side
    200,938x = 74,879,944,164
  5. Step 5: Solve for x
    x = 74,879,944,164/200,938
  6. Step 6: Final answer
    x = 372,651.98

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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.