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Finding the Third Proportional to 195,866 and 422,828

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Solution

The third proportional to 195,866 and 422,828 is: 912,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,866 : 422,828 = 422,828 : x
  2. Step 2: Convert to fraction form
    195,866/422,828 = 422,828/x
  3. Step 3: Cross multiply
    195,866x = 422,828 × 422,828
  4. Step 4: Simplify right side
    195,866x = 178,783,517,584
  5. Step 5: Solve for x
    x = 178,783,517,584/195,866
  6. Step 6: Final answer
    x = 912,784.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.