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Finding the Third Proportional to 225,867 and 331,260

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Solution

The third proportional to 225,867 and 331,260 is: 485,830.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,867 : 331,260 = 331,260 : x
  2. Step 2: Convert to fraction form
    225,867/331,260 = 331,260/x
  3. Step 3: Cross multiply
    225,867x = 331,260 × 331,260
  4. Step 4: Simplify right side
    225,867x = 109,733,187,600
  5. Step 5: Solve for x
    x = 109,733,187,600/225,867
  6. Step 6: Final answer
    x = 485,830.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.