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Finding the Third Proportional to 204,570 and 275,178.75

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Solution

The third proportional to 204,570 and 275,178.75 is: 370,158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,570 : 275,178.75 = 275,178.75 : x
  2. Step 2: Convert to fraction form
    204,570/275,178.75 = 275,178.75/x
  3. Step 3: Cross multiply
    204,570x = 275,178.75 × 275,178.75
  4. Step 4: Simplify right side
    204,570x = 75,723,344,451.56
  5. Step 5: Solve for x
    x = 75,723,344,451.56/204,570
  6. Step 6: Final answer
    x = 370,158.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.