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Finding the Third Proportional to 200,715 and 275,225

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Solution

The third proportional to 200,715 and 275,225 is: 377,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,715 : 275,225 = 275,225 : x
  2. Step 2: Convert to fraction form
    200,715/275,225 = 275,225/x
  3. Step 3: Cross multiply
    200,715x = 275,225 × 275,225
  4. Step 4: Simplify right side
    200,715x = 75,748,800,625
  5. Step 5: Solve for x
    x = 75,748,800,625/200,715
  6. Step 6: Final answer
    x = 377,394.82

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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.