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Finding the Third Proportional to 197,000 and 405,616

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Solution

The third proportional to 197,000 and 405,616 is: 835,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,000 : 405,616 = 405,616 : x
  2. Step 2: Convert to fraction form
    197,000/405,616 = 405,616/x
  3. Step 3: Cross multiply
    197,000x = 405,616 × 405,616
  4. Step 4: Simplify right side
    197,000x = 164,524,339,456
  5. Step 5: Solve for x
    x = 164,524,339,456/197,000
  6. Step 6: Final answer
    x = 835,148.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.