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Finding the Third Proportional to 208,612.13 and 283,380.75

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Solution

The third proportional to 208,612.13 and 283,380.75 is: 384,947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,612.13 : 283,380.75 = 283,380.75 : x
  2. Step 2: Convert to fraction form
    208,612.13/283,380.75 = 283,380.75/x
  3. Step 3: Cross multiply
    208,612.13x = 283,380.75 × 283,380.75
  4. Step 4: Simplify right side
    208,612.13x = 80,304,649,470.56
  5. Step 5: Solve for x
    x = 80,304,649,470.56/208,612.13
  6. Step 6: Final answer
    x = 384,947.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.