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Finding the Third Proportional to 126,604.13 and 200,476.69

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Solution

The third proportional to 126,604.13 and 200,476.69 is: 317,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,604.13 : 200,476.69 = 200,476.69 : x
  2. Step 2: Convert to fraction form
    126,604.13/200,476.69 = 200,476.69/x
  3. Step 3: Cross multiply
    126,604.13x = 200,476.69 × 200,476.69
  4. Step 4: Simplify right side
    126,604.13x = 40,190,902,230.97
  5. Step 5: Solve for x
    x = 40,190,902,230.97/126,604.13
  6. Step 6: Final answer
    x = 317,453.34

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.