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Finding the Third Proportional to 126,967.50 and 300,800.25

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Solution

The third proportional to 126,967.50 and 300,800.25 is: 712,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,967.50 : 300,800.25 = 300,800.25 : x
  2. Step 2: Convert to fraction form
    126,967.50/300,800.25 = 300,800.25/x
  3. Step 3: Cross multiply
    126,967.50x = 300,800.25 × 300,800.25
  4. Step 4: Simplify right side
    126,967.50x = 90,480,790,400.06
  5. Step 5: Solve for x
    x = 90,480,790,400.06/126,967.50
  6. Step 6: Final answer
    x = 712,629.53

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.