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Finding the Third Proportional to 194,823 and 419,742

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Solution

The third proportional to 194,823 and 419,742 is: 904,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,823 : 419,742 = 419,742 : x
  2. Step 2: Convert to fraction form
    194,823/419,742 = 419,742/x
  3. Step 3: Cross multiply
    194,823x = 419,742 × 419,742
  4. Step 4: Simplify right side
    194,823x = 176,183,346,564
  5. Step 5: Solve for x
    x = 176,183,346,564/194,823
  6. Step 6: Final answer
    x = 904,325.19

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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.