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Finding the Third Proportional to 204,857.16 and 321,360.75

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Solution

The third proportional to 204,857.16 and 321,360.75 is: 504,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,857.16 : 321,360.75 = 321,360.75 : x
  2. Step 2: Convert to fraction form
    204,857.16/321,360.75 = 321,360.75/x
  3. Step 3: Cross multiply
    204,857.16x = 321,360.75 × 321,360.75
  4. Step 4: Simplify right side
    204,857.16x = 103,272,731,640.56
  5. Step 5: Solve for x
    x = 103,272,731,640.56/204,857.16
  6. Step 6: Final answer
    x = 504,120.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.