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Finding the Third Proportional to 194,424 and 278,027

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Solution

The third proportional to 194,424 and 278,027 is: 397,579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,424 : 278,027 = 278,027 : x
  2. Step 2: Convert to fraction form
    194,424/278,027 = 278,027/x
  3. Step 3: Cross multiply
    194,424x = 278,027 × 278,027
  4. Step 4: Simplify right side
    194,424x = 77,299,012,729
  5. Step 5: Solve for x
    x = 77,299,012,729/194,424
  6. Step 6: Final answer
    x = 397,579.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.