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Finding the Third Proportional to 194,724 and 404,244

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Solution

The third proportional to 194,724 and 404,244 is: 839,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,724 : 404,244 = 404,244 : x
  2. Step 2: Convert to fraction form
    194,724/404,244 = 404,244/x
  3. Step 3: Cross multiply
    194,724x = 404,244 × 404,244
  4. Step 4: Simplify right side
    194,724x = 163,413,211,536
  5. Step 5: Solve for x
    x = 163,413,211,536/194,724
  6. Step 6: Final answer
    x = 839,204.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.