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Finding the Third Proportional to 193,794 and 411,078

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Solution

The third proportional to 193,794 and 411,078 is: 871,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,794 : 411,078 = 411,078 : x
  2. Step 2: Convert to fraction form
    193,794/411,078 = 411,078/x
  3. Step 3: Cross multiply
    193,794x = 411,078 × 411,078
  4. Step 4: Simplify right side
    193,794x = 168,985,122,084
  5. Step 5: Solve for x
    x = 168,985,122,084/193,794
  6. Step 6: Final answer
    x = 871,983.25

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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.