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Finding the Third Proportional to 90,598 and 197,652

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Solution

The third proportional to 90,598 and 197,652 is: 431,205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,598 : 197,652 = 197,652 : x
  2. Step 2: Convert to fraction form
    90,598/197,652 = 197,652/x
  3. Step 3: Cross multiply
    90,598x = 197,652 × 197,652
  4. Step 4: Simplify right side
    90,598x = 39,066,313,104
  5. Step 5: Solve for x
    x = 39,066,313,104/90,598
  6. Step 6: Final answer
    x = 431,205.03

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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.