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Finding the Third Proportional to 182,906.63 and 281,493

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Solution

The third proportional to 182,906.63 and 281,493 is: 433,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,906.63 : 281,493 = 281,493 : x
  2. Step 2: Convert to fraction form
    182,906.63/281,493 = 281,493/x
  3. Step 3: Cross multiply
    182,906.63x = 281,493 × 281,493
  4. Step 4: Simplify right side
    182,906.63x = 79,238,309,049
  5. Step 5: Solve for x
    x = 79,238,309,049/182,906.63
  6. Step 6: Final answer
    x = 433,217.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.