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Finding the Third Proportional to 204,585.75 and 426,080.25

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Solution

The third proportional to 204,585.75 and 426,080.25 is: 887,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,585.75 : 426,080.25 = 426,080.25 : x
  2. Step 2: Convert to fraction form
    204,585.75/426,080.25 = 426,080.25/x
  3. Step 3: Cross multiply
    204,585.75x = 426,080.25 × 426,080.25
  4. Step 4: Simplify right side
    204,585.75x = 181,544,379,440.06
  5. Step 5: Solve for x
    x = 181,544,379,440.06/204,585.75
  6. Step 6: Final answer
    x = 887,375.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.