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Finding the Third Proportional to 184,256 and 397,920

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Solution

The third proportional to 184,256 and 397,920 is: 859,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,256 : 397,920 = 397,920 : x
  2. Step 2: Convert to fraction form
    184,256/397,920 = 397,920/x
  3. Step 3: Cross multiply
    184,256x = 397,920 × 397,920
  4. Step 4: Simplify right side
    184,256x = 158,340,326,400
  5. Step 5: Solve for x
    x = 158,340,326,400/184,256
  6. Step 6: Final answer
    x = 859,349.64

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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.