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Finding the Third Proportional to 197,162 and 303,055

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Solution

The third proportional to 197,162 and 303,055 is: 465,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,162 : 303,055 = 303,055 : x
  2. Step 2: Convert to fraction form
    197,162/303,055 = 303,055/x
  3. Step 3: Cross multiply
    197,162x = 303,055 × 303,055
  4. Step 4: Simplify right side
    197,162x = 91,842,333,025
  5. Step 5: Solve for x
    x = 91,842,333,025/197,162
  6. Step 6: Final answer
    x = 465,821.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.