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Finding the Third Proportional to 200,859 and 275,426

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Solution

The third proportional to 200,859 and 275,426 is: 377,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,859 : 275,426 = 275,426 : x
  2. Step 2: Convert to fraction form
    200,859/275,426 = 275,426/x
  3. Step 3: Cross multiply
    200,859x = 275,426 × 275,426
  4. Step 4: Simplify right side
    200,859x = 75,859,481,476
  5. Step 5: Solve for x
    x = 75,859,481,476/200,859
  6. Step 6: Final answer
    x = 377,675.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.