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Finding the Third Proportional to 197,178 and 305,027

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Solution

The third proportional to 197,178 and 305,027 is: 471,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,178 : 305,027 = 305,027 : x
  2. Step 2: Convert to fraction form
    197,178/305,027 = 305,027/x
  3. Step 3: Cross multiply
    197,178x = 305,027 × 305,027
  4. Step 4: Simplify right side
    197,178x = 93,041,470,729
  5. Step 5: Solve for x
    x = 93,041,470,729/197,178
  6. Step 6: Final answer
    x = 471,865.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.