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Finding the Third Proportional to 108,450 and 223,596

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Solution

The third proportional to 108,450 and 223,596 is: 460,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,450 : 223,596 = 223,596 : x
  2. Step 2: Convert to fraction form
    108,450/223,596 = 223,596/x
  3. Step 3: Cross multiply
    108,450x = 223,596 × 223,596
  4. Step 4: Simplify right side
    108,450x = 49,995,171,216
  5. Step 5: Solve for x
    x = 49,995,171,216/108,450
  6. Step 6: Final answer
    x = 460,997.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.