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Finding the Third Proportional to 87,828 and 195,306

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Solution

The third proportional to 87,828 and 195,306 is: 434,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,828 : 195,306 = 195,306 : x
  2. Step 2: Convert to fraction form
    87,828/195,306 = 195,306/x
  3. Step 3: Cross multiply
    87,828x = 195,306 × 195,306
  4. Step 4: Simplify right side
    87,828x = 38,144,433,636
  5. Step 5: Solve for x
    x = 38,144,433,636/87,828
  6. Step 6: Final answer
    x = 434,308.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.