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Finding the Third Proportional to 200,682.56 and 275,192.44

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Solution

The third proportional to 200,682.56 and 275,192.44 is: 377,366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,682.56 : 275,192.44 = 275,192.44 : x
  2. Step 2: Convert to fraction form
    200,682.56/275,192.44 = 275,192.44/x
  3. Step 3: Cross multiply
    200,682.56x = 275,192.44 × 275,192.44
  4. Step 4: Simplify right side
    200,682.56x = 75,730,877,657.19
  5. Step 5: Solve for x
    x = 75,730,877,657.19/200,682.56
  6. Step 6: Final answer
    x = 377,366.51

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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.