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Finding the Third Proportional to 195,214 and 407,372

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Solution

The third proportional to 195,214 and 407,372 is: 850,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,214 : 407,372 = 407,372 : x
  2. Step 2: Convert to fraction form
    195,214/407,372 = 407,372/x
  3. Step 3: Cross multiply
    195,214x = 407,372 × 407,372
  4. Step 4: Simplify right side
    195,214x = 165,951,946,384
  5. Step 5: Solve for x
    x = 165,951,946,384/195,214
  6. Step 6: Final answer
    x = 850,102.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.