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Finding the Third Proportional to 197,560.42 and 218,319.84

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Solution

The third proportional to 197,560.42 and 218,319.84 is: 241,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,560.42 : 218,319.84 = 218,319.84 : x
  2. Step 2: Convert to fraction form
    197,560.42/218,319.84 = 218,319.84/x
  3. Step 3: Cross multiply
    197,560.42x = 218,319.84 × 218,319.84
  4. Step 4: Simplify right side
    197,560.42x = 47,663,551,616.59
  5. Step 5: Solve for x
    x = 47,663,551,616.59/197,560.42
  6. Step 6: Final answer
    x = 241,260.63

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.