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Finding the Third Proportional to 193,161 and 418,479

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Solution

The third proportional to 193,161 and 418,479 is: 906,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,161 : 418,479 = 418,479 : x
  2. Step 2: Convert to fraction form
    193,161/418,479 = 418,479/x
  3. Step 3: Cross multiply
    193,161x = 418,479 × 418,479
  4. Step 4: Simplify right side
    193,161x = 175,124,673,441
  5. Step 5: Solve for x
    x = 175,124,673,441/193,161
  6. Step 6: Final answer
    x = 906,625.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.