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Finding the Third Proportional to 126,954 and 300,778.50

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Solution

The third proportional to 126,954 and 300,778.50 is: 712,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,954 : 300,778.50 = 300,778.50 : x
  2. Step 2: Convert to fraction form
    126,954/300,778.50 = 300,778.50/x
  3. Step 3: Cross multiply
    126,954x = 300,778.50 × 300,778.50
  4. Step 4: Simplify right side
    126,954x = 90,467,706,062.25
  5. Step 5: Solve for x
    x = 90,467,706,062.25/126,954
  6. Step 6: Final answer
    x = 712,602.25

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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.