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Finding the Third Proportional to 204,774.75 and 320,532.19

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Solution

The third proportional to 204,774.75 and 320,532.19 is: 501,726.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,774.75 : 320,532.19 = 320,532.19 : x
  2. Step 2: Convert to fraction form
    204,774.75/320,532.19 = 320,532.19/x
  3. Step 3: Cross multiply
    204,774.75x = 320,532.19 × 320,532.19
  4. Step 4: Simplify right side
    204,774.75x = 102,740,883,223.54
  5. Step 5: Solve for x
    x = 102,740,883,223.54/204,774.75
  6. Step 6: Final answer
    x = 501,726.33

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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.