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Finding the Third Proportional to 184,569 and 263,933

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Solution

The third proportional to 184,569 and 263,933 is: 377,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,569 : 263,933 = 263,933 : x
  2. Step 2: Convert to fraction form
    184,569/263,933 = 263,933/x
  3. Step 3: Cross multiply
    184,569x = 263,933 × 263,933
  4. Step 4: Simplify right side
    184,569x = 69,660,628,489
  5. Step 5: Solve for x
    x = 69,660,628,489/184,569
  6. Step 6: Final answer
    x = 377,423.23

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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.