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Finding the Third Proportional to 199,277 and 422,854

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Solution

The third proportional to 199,277 and 422,854 is: 897,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,277 : 422,854 = 422,854 : x
  2. Step 2: Convert to fraction form
    199,277/422,854 = 422,854/x
  3. Step 3: Cross multiply
    199,277x = 422,854 × 422,854
  4. Step 4: Simplify right side
    199,277x = 178,805,505,316
  5. Step 5: Solve for x
    x = 178,805,505,316/199,277
  6. Step 6: Final answer
    x = 897,271.16

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Why These Related Problems?

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