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Finding the Third Proportional to 186,832 and 284,568

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Solution

The third proportional to 186,832 and 284,568 is: 433,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,832 : 284,568 = 284,568 : x
  2. Step 2: Convert to fraction form
    186,832/284,568 = 284,568/x
  3. Step 3: Cross multiply
    186,832x = 284,568 × 284,568
  4. Step 4: Simplify right side
    186,832x = 80,978,946,624
  5. Step 5: Solve for x
    x = 80,978,946,624/186,832
  6. Step 6: Final answer
    x = 433,431.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.