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Finding the Third Proportional to 108,530 and 225,378

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Solution

The third proportional to 108,530 and 225,378 is: 468,029.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,530 : 225,378 = 225,378 : x
  2. Step 2: Convert to fraction form
    108,530/225,378 = 225,378/x
  3. Step 3: Cross multiply
    108,530x = 225,378 × 225,378
  4. Step 4: Simplify right side
    108,530x = 50,795,242,884
  5. Step 5: Solve for x
    x = 50,795,242,884/108,530
  6. Step 6: Final answer
    x = 468,029.51

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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.