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Finding the Third Proportional to 197,022 and 312,027

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Solution

The third proportional to 197,022 and 312,027 is: 494,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,022 : 312,027 = 312,027 : x
  2. Step 2: Convert to fraction form
    197,022/312,027 = 312,027/x
  3. Step 3: Cross multiply
    197,022x = 312,027 × 312,027
  4. Step 4: Simplify right side
    197,022x = 97,360,848,729
  5. Step 5: Solve for x
    x = 97,360,848,729/197,022
  6. Step 6: Final answer
    x = 494,162.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.