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Finding the Third Proportional to 199,672.25 and 434,329.75

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Solution

The third proportional to 199,672.25 and 434,329.75 is: 944,759.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,672.25 : 434,329.75 = 434,329.75 : x
  2. Step 2: Convert to fraction form
    199,672.25/434,329.75 = 434,329.75/x
  3. Step 3: Cross multiply
    199,672.25x = 434,329.75 × 434,329.75
  4. Step 4: Simplify right side
    199,672.25x = 188,642,331,735.06
  5. Step 5: Solve for x
    x = 188,642,331,735.06/199,672.25
  6. Step 6: Final answer
    x = 944,759.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.