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Finding the Third Proportional to 84,564 and 196,641

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Solution

The third proportional to 84,564 and 196,641 is: 457,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,564 : 196,641 = 196,641 : x
  2. Step 2: Convert to fraction form
    84,564/196,641 = 196,641/x
  3. Step 3: Cross multiply
    84,564x = 196,641 × 196,641
  4. Step 4: Simplify right side
    84,564x = 38,667,682,881
  5. Step 5: Solve for x
    x = 38,667,682,881/84,564
  6. Step 6: Final answer
    x = 457,259.39

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.