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Finding the Third Proportional to 204,256.69 and 432,801.56

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Solution

The third proportional to 204,256.69 and 432,801.56 is: 917,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,256.69 : 432,801.56 = 432,801.56 : x
  2. Step 2: Convert to fraction form
    204,256.69/432,801.56 = 432,801.56/x
  3. Step 3: Cross multiply
    204,256.69x = 432,801.56 × 432,801.56
  4. Step 4: Simplify right side
    204,256.69x = 187,317,192,502.44
  5. Step 5: Solve for x
    x = 187,317,192,502.44/204,256.69
  6. Step 6: Final answer
    x = 917,067.61

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.