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Finding the Third Proportional to 194,017 and 422,206

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Solution

The third proportional to 194,017 and 422,206 is: 918,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,017 : 422,206 = 422,206 : x
  2. Step 2: Convert to fraction form
    194,017/422,206 = 422,206/x
  3. Step 3: Cross multiply
    194,017x = 422,206 × 422,206
  4. Step 4: Simplify right side
    194,017x = 178,257,906,436
  5. Step 5: Solve for x
    x = 178,257,906,436/194,017
  6. Step 6: Final answer
    x = 918,774.68

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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.