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Finding the Third Proportional to 128,942.25 and 280,301.25

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Solution

The third proportional to 128,942.25 and 280,301.25 is: 609,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,942.25 : 280,301.25 = 280,301.25 : x
  2. Step 2: Convert to fraction form
    128,942.25/280,301.25 = 280,301.25/x
  3. Step 3: Cross multiply
    128,942.25x = 280,301.25 × 280,301.25
  4. Step 4: Simplify right side
    128,942.25x = 78,568,790,751.56
  5. Step 5: Solve for x
    x = 78,568,790,751.56/128,942.25
  6. Step 6: Final answer
    x = 609,333.18

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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.