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Finding the Third Proportional to 200,981 and 272,941

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Solution

The third proportional to 200,981 and 272,941 is: 370,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,981 : 272,941 = 272,941 : x
  2. Step 2: Convert to fraction form
    200,981/272,941 = 272,941/x
  3. Step 3: Cross multiply
    200,981x = 272,941 × 272,941
  4. Step 4: Simplify right side
    200,981x = 74,496,789,481
  5. Step 5: Solve for x
    x = 74,496,789,481/200,981
  6. Step 6: Final answer
    x = 370,665.83

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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.