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Finding the Third Proportional to 135,750.94 and 298,267.31

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Solution

The third proportional to 135,750.94 and 298,267.31 is: 655,342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,750.94 : 298,267.31 = 298,267.31 : x
  2. Step 2: Convert to fraction form
    135,750.94/298,267.31 = 298,267.31/x
  3. Step 3: Cross multiply
    135,750.94x = 298,267.31 × 298,267.31
  4. Step 4: Simplify right side
    135,750.94x = 88,963,389,705.97
  5. Step 5: Solve for x
    x = 88,963,389,705.97/135,750.94
  6. Step 6: Final answer
    x = 655,342.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.