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Finding the Third Proportional to 200,586 and 282,225

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Solution

The third proportional to 200,586 and 282,225 is: 397,091.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,586 : 282,225 = 282,225 : x
  2. Step 2: Convert to fraction form
    200,586/282,225 = 282,225/x
  3. Step 3: Cross multiply
    200,586x = 282,225 × 282,225
  4. Step 4: Simplify right side
    200,586x = 79,650,950,625
  5. Step 5: Solve for x
    x = 79,650,950,625/200,586
  6. Step 6: Final answer
    x = 397,091.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.