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Finding the Third Proportional to 197,147 and 305,832

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Solution

The third proportional to 197,147 and 305,832 is: 474,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,147 : 305,832 = 305,832 : x
  2. Step 2: Convert to fraction form
    197,147/305,832 = 305,832/x
  3. Step 3: Cross multiply
    197,147x = 305,832 × 305,832
  4. Step 4: Simplify right side
    197,147x = 93,533,212,224
  5. Step 5: Solve for x
    x = 93,533,212,224/197,147
  6. Step 6: Final answer
    x = 474,433.86

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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.