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Finding the Third Proportional to 108,469 and 225,140

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Solution

The third proportional to 108,469 and 225,140 is: 467,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,469 : 225,140 = 225,140 : x
  2. Step 2: Convert to fraction form
    108,469/225,140 = 225,140/x
  3. Step 3: Cross multiply
    108,469x = 225,140 × 225,140
  4. Step 4: Simplify right side
    108,469x = 50,688,019,600
  5. Step 5: Solve for x
    x = 50,688,019,600/108,469
  6. Step 6: Final answer
    x = 467,304.20

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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.