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Finding the Third Proportional to 108,623 and 225,427

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Solution

The third proportional to 108,623 and 225,427 is: 467,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,623 : 225,427 = 225,427 : x
  2. Step 2: Convert to fraction form
    108,623/225,427 = 225,427/x
  3. Step 3: Cross multiply
    108,623x = 225,427 × 225,427
  4. Step 4: Simplify right side
    108,623x = 50,817,332,329
  5. Step 5: Solve for x
    x = 50,817,332,329/108,623
  6. Step 6: Final answer
    x = 467,832.16

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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.