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Finding the Third Proportional to 184,722 and 398,271

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Solution

The third proportional to 184,722 and 398,271 is: 858,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,722 : 398,271 = 398,271 : x
  2. Step 2: Convert to fraction form
    184,722/398,271 = 398,271/x
  3. Step 3: Cross multiply
    184,722x = 398,271 × 398,271
  4. Step 4: Simplify right side
    184,722x = 158,619,789,441
  5. Step 5: Solve for x
    x = 158,619,789,441/184,722
  6. Step 6: Final answer
    x = 858,694.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.