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Finding the Third Proportional to 108,524.25 and 225,364.50

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Solution

The third proportional to 108,524.25 and 225,364.50 is: 467,998.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,524.25 : 225,364.50 = 225,364.50 : x
  2. Step 2: Convert to fraction form
    108,524.25/225,364.50 = 225,364.50/x
  3. Step 3: Cross multiply
    108,524.25x = 225,364.50 × 225,364.50
  4. Step 4: Simplify right side
    108,524.25x = 50,789,157,860.25
  5. Step 5: Solve for x
    x = 50,789,157,860.25/108,524.25
  6. Step 6: Final answer
    x = 467,998.24

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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.