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Finding the Third Proportional to 200,685.75 and 275,194.88

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Solution

The third proportional to 200,685.75 and 275,194.88 is: 377,367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,685.75 : 275,194.88 = 275,194.88 : x
  2. Step 2: Convert to fraction form
    200,685.75/275,194.88 = 275,194.88/x
  3. Step 3: Cross multiply
    200,685.75x = 275,194.88 × 275,194.88
  4. Step 4: Simplify right side
    200,685.75x = 75,732,219,226.27
  5. Step 5: Solve for x
    x = 75,732,219,226.27/200,685.75
  6. Step 6: Final answer
    x = 377,367.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.