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Finding the Third Proportional to 140,793.75 and 286,476.75

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Solution

The third proportional to 140,793.75 and 286,476.75 is: 582,901.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,793.75 : 286,476.75 = 286,476.75 : x
  2. Step 2: Convert to fraction form
    140,793.75/286,476.75 = 286,476.75/x
  3. Step 3: Cross multiply
    140,793.75x = 286,476.75 × 286,476.75
  4. Step 4: Simplify right side
    140,793.75x = 82,068,928,290.56
  5. Step 5: Solve for x
    x = 82,068,928,290.56/140,793.75
  6. Step 6: Final answer
    x = 582,901.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.