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Finding the Third Proportional to 204,782.25 and 320,549.63

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Solution

The third proportional to 204,782.25 and 320,549.63 is: 501,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,782.25 : 320,549.63 = 320,549.63 : x
  2. Step 2: Convert to fraction form
    204,782.25/320,549.63 = 320,549.63/x
  3. Step 3: Cross multiply
    204,782.25x = 320,549.63 × 320,549.63
  4. Step 4: Simplify right side
    204,782.25x = 102,752,062,087.64
  5. Step 5: Solve for x
    x = 102,752,062,087.64/204,782.25
  6. Step 6: Final answer
    x = 501,762.54

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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.