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Finding the Third Proportional to 146,104 and 197,984

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Solution

The third proportional to 146,104 and 197,984 is: 268,286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,104 : 197,984 = 197,984 : x
  2. Step 2: Convert to fraction form
    146,104/197,984 = 197,984/x
  3. Step 3: Cross multiply
    146,104x = 197,984 × 197,984
  4. Step 4: Simplify right side
    146,104x = 39,197,664,256
  5. Step 5: Solve for x
    x = 39,197,664,256/146,104
  6. Step 6: Final answer
    x = 268,286.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.