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Finding the Third Proportional to 197,889.75 and 306,608.63

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Solution

The third proportional to 197,889.75 and 306,608.63 is: 475,056.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,889.75 : 306,608.63 = 306,608.63 : x
  2. Step 2: Convert to fraction form
    197,889.75/306,608.63 = 306,608.63/x
  3. Step 3: Cross multiply
    197,889.75x = 306,608.63 × 306,608.63
  4. Step 4: Simplify right side
    197,889.75x = 94,008,848,924.39
  5. Step 5: Solve for x
    x = 94,008,848,924.39/197,889.75
  6. Step 6: Final answer
    x = 475,056.69

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