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Finding the Third Proportional to 197,115.75 and 308,799.75

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Solution

The third proportional to 197,115.75 and 308,799.75 is: 483,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,115.75 : 308,799.75 = 308,799.75 : x
  2. Step 2: Convert to fraction form
    197,115.75/308,799.75 = 308,799.75/x
  3. Step 3: Cross multiply
    197,115.75x = 308,799.75 × 308,799.75
  4. Step 4: Simplify right side
    197,115.75x = 95,357,285,600.06
  5. Step 5: Solve for x
    x = 95,357,285,600.06/197,115.75
  6. Step 6: Final answer
    x = 483,762.89

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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.