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Finding the Third Proportional to 225,807.75 and 340,625.25

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Solution

The third proportional to 225,807.75 and 340,625.25 is: 513,824.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,807.75 : 340,625.25 = 340,625.25 : x
  2. Step 2: Convert to fraction form
    225,807.75/340,625.25 = 340,625.25/x
  3. Step 3: Cross multiply
    225,807.75x = 340,625.25 × 340,625.25
  4. Step 4: Simplify right side
    225,807.75x = 116,025,560,937.56
  5. Step 5: Solve for x
    x = 116,025,560,937.56/225,807.75
  6. Step 6: Final answer
    x = 513,824.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.