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Finding the Third Proportional to 109,394 and 226,379

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Solution

The third proportional to 109,394 and 226,379 is: 468,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,394 : 226,379 = 226,379 : x
  2. Step 2: Convert to fraction form
    109,394/226,379 = 226,379/x
  3. Step 3: Cross multiply
    109,394x = 226,379 × 226,379
  4. Step 4: Simplify right side
    109,394x = 51,247,451,641
  5. Step 5: Solve for x
    x = 51,247,451,641/109,394
  6. Step 6: Final answer
    x = 468,466.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.