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Finding the Third Proportional to 204,992.25 and 450,342.75

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Solution

The third proportional to 204,992.25 and 450,342.75 is: 989,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,992.25 : 450,342.75 = 450,342.75 : x
  2. Step 2: Convert to fraction form
    204,992.25/450,342.75 = 450,342.75/x
  3. Step 3: Cross multiply
    204,992.25x = 450,342.75 × 450,342.75
  4. Step 4: Simplify right side
    204,992.25x = 202,808,592,477.56
  5. Step 5: Solve for x
    x = 202,808,592,477.56/204,992.25
  6. Step 6: Final answer
    x = 989,347.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.