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Finding the Third Proportional to 199,550.25 and 428,625

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Solution

The third proportional to 199,550.25 and 428,625 is: 920,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,550.25 : 428,625 = 428,625 : x
  2. Step 2: Convert to fraction form
    199,550.25/428,625 = 428,625/x
  3. Step 3: Cross multiply
    199,550.25x = 428,625 × 428,625
  4. Step 4: Simplify right side
    199,550.25x = 183,719,390,625
  5. Step 5: Solve for x
    x = 183,719,390,625/199,550.25
  6. Step 6: Final answer
    x = 920,667.30

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.