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Finding the Third Proportional to 94,828 and 203,717

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Solution

The third proportional to 94,828 and 203,717 is: 437,640.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,828 : 203,717 = 203,717 : x
  2. Step 2: Convert to fraction form
    94,828/203,717 = 203,717/x
  3. Step 3: Cross multiply
    94,828x = 203,717 × 203,717
  4. Step 4: Simplify right side
    94,828x = 41,500,616,089
  5. Step 5: Solve for x
    x = 41,500,616,089/94,828
  6. Step 6: Final answer
    x = 437,640.95

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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.