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Finding the Third Proportional to 194,992 and 285,102

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Solution

The third proportional to 194,992 and 285,102 is: 416,853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,992 : 285,102 = 285,102 : x
  2. Step 2: Convert to fraction form
    194,992/285,102 = 285,102/x
  3. Step 3: Cross multiply
    194,992x = 285,102 × 285,102
  4. Step 4: Simplify right side
    194,992x = 81,283,150,404
  5. Step 5: Solve for x
    x = 81,283,150,404/194,992
  6. Step 6: Final answer
    x = 416,853.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.