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Finding the Third Proportional to 199,928.25 and 422,334

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Solution

The third proportional to 199,928.25 and 422,334 is: 892,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,928.25 : 422,334 = 422,334 : x
  2. Step 2: Convert to fraction form
    199,928.25/422,334 = 422,334/x
  3. Step 3: Cross multiply
    199,928.25x = 422,334 × 422,334
  4. Step 4: Simplify right side
    199,928.25x = 178,366,007,556
  5. Step 5: Solve for x
    x = 178,366,007,556/199,928.25
  6. Step 6: Final answer
    x = 892,150.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.