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Finding the Third Proportional to 89,982 and 197,598

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Solution

The third proportional to 89,982 and 197,598 is: 433,919.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,982 : 197,598 = 197,598 : x
  2. Step 2: Convert to fraction form
    89,982/197,598 = 197,598/x
  3. Step 3: Cross multiply
    89,982x = 197,598 × 197,598
  4. Step 4: Simplify right side
    89,982x = 39,044,969,604
  5. Step 5: Solve for x
    x = 39,044,969,604/89,982
  6. Step 6: Final answer
    x = 433,919.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.