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Finding the Third Proportional to 108,524 and 225,364

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Solution

The third proportional to 108,524 and 225,364 is: 467,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,524 : 225,364 = 225,364 : x
  2. Step 2: Convert to fraction form
    108,524/225,364 = 225,364/x
  3. Step 3: Cross multiply
    108,524x = 225,364 × 225,364
  4. Step 4: Simplify right side
    108,524x = 50,788,932,496
  5. Step 5: Solve for x
    x = 50,788,932,496/108,524
  6. Step 6: Final answer
    x = 467,997.24

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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.