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Finding the Third Proportional to 197,296 and 305,152

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Solution

The third proportional to 197,296 and 305,152 is: 471,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,296 : 305,152 = 305,152 : x
  2. Step 2: Convert to fraction form
    197,296/305,152 = 305,152/x
  3. Step 3: Cross multiply
    197,296x = 305,152 × 305,152
  4. Step 4: Simplify right side
    197,296x = 93,117,743,104
  5. Step 5: Solve for x
    x = 93,117,743,104/197,296
  6. Step 6: Final answer
    x = 471,969.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.