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Finding the Third Proportional to 207,165 and 451,233

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Solution

The third proportional to 207,165 and 451,233 is: 982,845.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,165 : 451,233 = 451,233 : x
  2. Step 2: Convert to fraction form
    207,165/451,233 = 451,233/x
  3. Step 3: Cross multiply
    207,165x = 451,233 × 451,233
  4. Step 4: Simplify right side
    207,165x = 203,611,220,289
  5. Step 5: Solve for x
    x = 203,611,220,289/207,165
  6. Step 6: Final answer
    x = 982,845.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.