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Finding the Third Proportional to 108,309 and 225,285

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Solution

The third proportional to 108,309 and 225,285 is: 468,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,309 : 225,285 = 225,285 : x
  2. Step 2: Convert to fraction form
    108,309/225,285 = 225,285/x
  3. Step 3: Cross multiply
    108,309x = 225,285 × 225,285
  4. Step 4: Simplify right side
    108,309x = 50,753,331,225
  5. Step 5: Solve for x
    x = 50,753,331,225/108,309
  6. Step 6: Final answer
    x = 468,597.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.