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Finding the Third Proportional to 200,863.50 and 275,427

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Solution

The third proportional to 200,863.50 and 275,427 is: 377,669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,863.50 : 275,427 = 275,427 : x
  2. Step 2: Convert to fraction form
    200,863.50/275,427 = 275,427/x
  3. Step 3: Cross multiply
    200,863.50x = 275,427 × 275,427
  4. Step 4: Simplify right side
    200,863.50x = 75,860,032,329
  5. Step 5: Solve for x
    x = 75,860,032,329/200,863.50
  6. Step 6: Final answer
    x = 377,669.57

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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.