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Finding the Third Proportional to 184,886 and 405,838

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Solution

The third proportional to 184,886 and 405,838 is: 890,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,886 : 405,838 = 405,838 : x
  2. Step 2: Convert to fraction form
    184,886/405,838 = 405,838/x
  3. Step 3: Cross multiply
    184,886x = 405,838 × 405,838
  4. Step 4: Simplify right side
    184,886x = 164,704,482,244
  5. Step 5: Solve for x
    x = 164,704,482,244/184,886
  6. Step 6: Final answer
    x = 890,843.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.