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Finding the Third Proportional to 90,286 and 194,447

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Solution

The third proportional to 90,286 and 194,447 is: 418,776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,286 : 194,447 = 194,447 : x
  2. Step 2: Convert to fraction form
    90,286/194,447 = 194,447/x
  3. Step 3: Cross multiply
    90,286x = 194,447 × 194,447
  4. Step 4: Simplify right side
    90,286x = 37,809,635,809
  5. Step 5: Solve for x
    x = 37,809,635,809/90,286
  6. Step 6: Final answer
    x = 418,776.29

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Why These Related Problems?

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