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Finding the Third Proportional to 197,134.50 and 308,838

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Solution

The third proportional to 197,134.50 and 308,838 is: 483,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,134.50 : 308,838 = 308,838 : x
  2. Step 2: Convert to fraction form
    197,134.50/308,838 = 308,838/x
  3. Step 3: Cross multiply
    197,134.50x = 308,838 × 308,838
  4. Step 4: Simplify right side
    197,134.50x = 95,380,910,244
  5. Step 5: Solve for x
    x = 95,380,910,244/197,134.50
  6. Step 6: Final answer
    x = 483,836.72

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