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Finding the Third Proportional to 197,231.63 and 421,800.75

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Solution

The third proportional to 197,231.63 and 421,800.75 is: 902,065.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,231.63 : 421,800.75 = 421,800.75 : x
  2. Step 2: Convert to fraction form
    197,231.63/421,800.75 = 421,800.75/x
  3. Step 3: Cross multiply
    197,231.63x = 421,800.75 × 421,800.75
  4. Step 4: Simplify right side
    197,231.63x = 177,915,872,700.56
  5. Step 5: Solve for x
    x = 177,915,872,700.56/197,231.63
  6. Step 6: Final answer
    x = 902,065.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.