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Finding the Third Proportional to 204,659.63 and 445,097.21

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Solution

The third proportional to 204,659.63 and 445,097.21 is: 968,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,659.63 : 445,097.21 = 445,097.21 : x
  2. Step 2: Convert to fraction form
    204,659.63/445,097.21 = 445,097.21/x
  3. Step 3: Cross multiply
    204,659.63x = 445,097.21 × 445,097.21
  4. Step 4: Simplify right side
    204,659.63x = 198,111,530,661.66
  5. Step 5: Solve for x
    x = 198,111,530,661.66/204,659.63
  6. Step 6: Final answer
    x = 968,004.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.