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Finding the Third Proportional to 192,064 and 418,568

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Solution

The third proportional to 192,064 and 418,568 is: 912,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,064 : 418,568 = 418,568 : x
  2. Step 2: Convert to fraction form
    192,064/418,568 = 418,568/x
  3. Step 3: Cross multiply
    192,064x = 418,568 × 418,568
  4. Step 4: Simplify right side
    192,064x = 175,199,170,624
  5. Step 5: Solve for x
    x = 175,199,170,624/192,064
  6. Step 6: Final answer
    x = 912,191.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.