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Finding the Third Proportional to 184,856 and 378,471

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Solution

The third proportional to 184,856 and 378,471 is: 774,875.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,856 : 378,471 = 378,471 : x
  2. Step 2: Convert to fraction form
    184,856/378,471 = 378,471/x
  3. Step 3: Cross multiply
    184,856x = 378,471 × 378,471
  4. Step 4: Simplify right side
    184,856x = 143,240,297,841
  5. Step 5: Solve for x
    x = 143,240,297,841/184,856
  6. Step 6: Final answer
    x = 774,875.03

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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.