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Finding the Third Proportional to 126,340 and 196,890

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Solution

The third proportional to 126,340 and 196,890 is: 306,836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,340 : 196,890 = 196,890 : x
  2. Step 2: Convert to fraction form
    126,340/196,890 = 196,890/x
  3. Step 3: Cross multiply
    126,340x = 196,890 × 196,890
  4. Step 4: Simplify right side
    126,340x = 38,765,672,100
  5. Step 5: Solve for x
    x = 38,765,672,100/126,340
  6. Step 6: Final answer
    x = 306,836.09

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.