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Finding the Third Proportional to 197,141 and 308,851

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Solution

The third proportional to 197,141 and 308,851 is: 483,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,141 : 308,851 = 308,851 : x
  2. Step 2: Convert to fraction form
    197,141/308,851 = 308,851/x
  3. Step 3: Cross multiply
    197,141x = 308,851 × 308,851
  4. Step 4: Simplify right side
    197,141x = 95,388,940,201
  5. Step 5: Solve for x
    x = 95,388,940,201/197,141
  6. Step 6: Final answer
    x = 483,861.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.