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Finding the Third Proportional to 197,199.75 and 430,872.75

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Solution

The third proportional to 197,199.75 and 430,872.75 is: 941,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,199.75 : 430,872.75 = 430,872.75 : x
  2. Step 2: Convert to fraction form
    197,199.75/430,872.75 = 430,872.75/x
  3. Step 3: Cross multiply
    197,199.75x = 430,872.75 × 430,872.75
  4. Step 4: Simplify right side
    197,199.75x = 185,651,326,692.56
  5. Step 5: Solve for x
    x = 185,651,326,692.56/197,199.75
  6. Step 6: Final answer
    x = 941,437.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.