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Finding the Third Proportional to 225,769.78 and 309,591.70

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Solution

The third proportional to 225,769.78 and 309,591.70 is: 424,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,769.78 : 309,591.70 = 309,591.70 : x
  2. Step 2: Convert to fraction form
    225,769.78/309,591.70 = 309,591.70/x
  3. Step 3: Cross multiply
    225,769.78x = 309,591.70 × 309,591.70
  4. Step 4: Simplify right side
    225,769.78x = 95,847,022,643.84
  5. Step 5: Solve for x
    x = 95,847,022,643.84/225,769.78
  6. Step 6: Final answer
    x = 424,534.33

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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.