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Finding the Third Proportional to 194,258 and 422,698

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Solution

The third proportional to 194,258 and 422,698 is: 919,774.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,258 : 422,698 = 422,698 : x
  2. Step 2: Convert to fraction form
    194,258/422,698 = 422,698/x
  3. Step 3: Cross multiply
    194,258x = 422,698 × 422,698
  4. Step 4: Simplify right side
    194,258x = 178,673,599,204
  5. Step 5: Solve for x
    x = 178,673,599,204/194,258
  6. Step 6: Final answer
    x = 919,774.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.