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Finding the Third Proportional to 194,464 and 422,128

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Solution

The third proportional to 194,464 and 422,128 is: 916,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,464 : 422,128 = 422,128 : x
  2. Step 2: Convert to fraction form
    194,464/422,128 = 422,128/x
  3. Step 3: Cross multiply
    194,464x = 422,128 × 422,128
  4. Step 4: Simplify right side
    194,464x = 178,192,048,384
  5. Step 5: Solve for x
    x = 178,192,048,384/194,464
  6. Step 6: Final answer
    x = 916,324.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.