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Finding the Third Proportional to 204,023.25 and 286,800.75

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Solution

The third proportional to 204,023.25 and 286,800.75 is: 403,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,023.25 : 286,800.75 = 286,800.75 : x
  2. Step 2: Convert to fraction form
    204,023.25/286,800.75 = 286,800.75/x
  3. Step 3: Cross multiply
    204,023.25x = 286,800.75 × 286,800.75
  4. Step 4: Simplify right side
    204,023.25x = 82,254,670,200.56
  5. Step 5: Solve for x
    x = 82,254,670,200.56/204,023.25
  6. Step 6: Final answer
    x = 403,163.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.