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Finding the Third Proportional to 200,684.25 and 275,192.63

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Solution

The third proportional to 200,684.25 and 275,192.63 is: 377,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,684.25 : 275,192.63 = 275,192.63 : x
  2. Step 2: Convert to fraction form
    200,684.25/275,192.63 = 275,192.63/x
  3. Step 3: Cross multiply
    200,684.25x = 275,192.63 × 275,192.63
  4. Step 4: Simplify right side
    200,684.25x = 75,730,980,854.39
  5. Step 5: Solve for x
    x = 75,730,980,854.39/200,684.25
  6. Step 6: Final answer
    x = 377,363.85

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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.