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Finding the Third Proportional to 194,284 and 418,093

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Solution

The third proportional to 194,284 and 418,093 is: 899,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,284 : 418,093 = 418,093 : x
  2. Step 2: Convert to fraction form
    194,284/418,093 = 418,093/x
  3. Step 3: Cross multiply
    194,284x = 418,093 × 418,093
  4. Step 4: Simplify right side
    194,284x = 174,801,756,649
  5. Step 5: Solve for x
    x = 174,801,756,649/194,284
  6. Step 6: Final answer
    x = 899,722.86

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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.