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Finding the Third Proportional to 207,163 and 451,230

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Solution

The third proportional to 207,163 and 451,230 is: 982,842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,163 : 451,230 = 451,230 : x
  2. Step 2: Convert to fraction form
    207,163/451,230 = 451,230/x
  3. Step 3: Cross multiply
    207,163x = 451,230 × 451,230
  4. Step 4: Simplify right side
    207,163x = 203,608,512,900
  5. Step 5: Solve for x
    x = 203,608,512,900/207,163
  6. Step 6: Final answer
    x = 982,842.08

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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.