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Finding the Third Proportional to 184,570 and 263,932

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Solution

The third proportional to 184,570 and 263,932 is: 377,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,570 : 263,932 = 263,932 : x
  2. Step 2: Convert to fraction form
    184,570/263,932 = 263,932/x
  3. Step 3: Cross multiply
    184,570x = 263,932 × 263,932
  4. Step 4: Simplify right side
    184,570x = 69,660,100,624
  5. Step 5: Solve for x
    x = 69,660,100,624/184,570
  6. Step 6: Final answer
    x = 377,418.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.