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Finding the Third Proportional to 126,198 and 294,900.75

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Solution

The third proportional to 126,198 and 294,900.75 is: 689,127.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,198 : 294,900.75 = 294,900.75 : x
  2. Step 2: Convert to fraction form
    126,198/294,900.75 = 294,900.75/x
  3. Step 3: Cross multiply
    126,198x = 294,900.75 × 294,900.75
  4. Step 4: Simplify right side
    126,198x = 86,966,452,350.56
  5. Step 5: Solve for x
    x = 86,966,452,350.56/126,198
  6. Step 6: Final answer
    x = 689,127.03

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.