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Finding the Third Proportional to 184,011 and 397,026

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Solution

The third proportional to 184,011 and 397,026 is: 856,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,011 : 397,026 = 397,026 : x
  2. Step 2: Convert to fraction form
    184,011/397,026 = 397,026/x
  3. Step 3: Cross multiply
    184,011x = 397,026 × 397,026
  4. Step 4: Simplify right side
    184,011x = 157,629,644,676
  5. Step 5: Solve for x
    x = 157,629,644,676/184,011
  6. Step 6: Final answer
    x = 856,631.64

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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.