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Finding the Third Proportional to 194,325 and 422,838

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Solution

The third proportional to 194,325 and 422,838 is: 920,066.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,325 : 422,838 = 422,838 : x
  2. Step 2: Convert to fraction form
    194,325/422,838 = 422,838/x
  3. Step 3: Cross multiply
    194,325x = 422,838 × 422,838
  4. Step 4: Simplify right side
    194,325x = 178,791,974,244
  5. Step 5: Solve for x
    x = 178,791,974,244/194,325
  6. Step 6: Final answer
    x = 920,066.77

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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.