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Finding the Third Proportional to 184,857 and 378,470

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Solution

The third proportional to 184,857 and 378,470 is: 774,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,857 : 378,470 = 378,470 : x
  2. Step 2: Convert to fraction form
    184,857/378,470 = 378,470/x
  3. Step 3: Cross multiply
    184,857x = 378,470 × 378,470
  4. Step 4: Simplify right side
    184,857x = 143,239,540,900
  5. Step 5: Solve for x
    x = 143,239,540,900/184,857
  6. Step 6: Final answer
    x = 774,866.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.