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Finding the Third Proportional to 194,628 and 419,267

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Solution

The third proportional to 194,628 and 419,267 is: 903,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,628 : 419,267 = 419,267 : x
  2. Step 2: Convert to fraction form
    194,628/419,267 = 419,267/x
  3. Step 3: Cross multiply
    194,628x = 419,267 × 419,267
  4. Step 4: Simplify right side
    194,628x = 175,784,817,289
  5. Step 5: Solve for x
    x = 175,784,817,289/194,628
  6. Step 6: Final answer
    x = 903,183.60

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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.