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Finding the Third Proportional to 197,135 and 301,616

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Solution

The third proportional to 197,135 and 301,616 is: 461,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,135 : 301,616 = 301,616 : x
  2. Step 2: Convert to fraction form
    197,135/301,616 = 301,616/x
  3. Step 3: Cross multiply
    197,135x = 301,616 × 301,616
  4. Step 4: Simplify right side
    197,135x = 90,972,211,456
  5. Step 5: Solve for x
    x = 90,972,211,456/197,135
  6. Step 6: Final answer
    x = 461,471.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.