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Finding the Third Proportional to 184,682 and 398,524

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Solution

The third proportional to 184,682 and 398,524 is: 859,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,682 : 398,524 = 398,524 : x
  2. Step 2: Convert to fraction form
    184,682/398,524 = 398,524/x
  3. Step 3: Cross multiply
    184,682x = 398,524 × 398,524
  4. Step 4: Simplify right side
    184,682x = 158,821,378,576
  5. Step 5: Solve for x
    x = 158,821,378,576/184,682
  6. Step 6: Final answer
    x = 859,972.16

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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.