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Finding the Third Proportional to 184,224 and 382,296

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Solution

The third proportional to 184,224 and 382,296 is: 793,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,224 : 382,296 = 382,296 : x
  2. Step 2: Convert to fraction form
    184,224/382,296 = 382,296/x
  3. Step 3: Cross multiply
    184,224x = 382,296 × 382,296
  4. Step 4: Simplify right side
    184,224x = 146,150,231,616
  5. Step 5: Solve for x
    x = 146,150,231,616/184,224
  6. Step 6: Final answer
    x = 793,328.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.