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Finding the Third Proportional to 126,646.50 and 275,244

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Solution

The third proportional to 126,646.50 and 275,244 is: 598,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,646.50 : 275,244 = 275,244 : x
  2. Step 2: Convert to fraction form
    126,646.50/275,244 = 275,244/x
  3. Step 3: Cross multiply
    126,646.50x = 275,244 × 275,244
  4. Step 4: Simplify right side
    126,646.50x = 75,759,259,536
  5. Step 5: Solve for x
    x = 75,759,259,536/126,646.50
  6. Step 6: Final answer
    x = 598,194.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.