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Finding the Third Proportional to 194,613 and 419,223

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Solution

The third proportional to 194,613 and 419,223 is: 903,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,613 : 419,223 = 419,223 : x
  2. Step 2: Convert to fraction form
    194,613/419,223 = 419,223/x
  3. Step 3: Cross multiply
    194,613x = 419,223 × 419,223
  4. Step 4: Simplify right side
    194,613x = 175,747,923,729
  5. Step 5: Solve for x
    x = 175,747,923,729/194,613
  6. Step 6: Final answer
    x = 903,063.64

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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.