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Finding the Third Proportional to 184,904 and 378,568

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Solution

The third proportional to 184,904 and 378,568 is: 775,071.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,904 : 378,568 = 378,568 : x
  2. Step 2: Convert to fraction form
    184,904/378,568 = 378,568/x
  3. Step 3: Cross multiply
    184,904x = 378,568 × 378,568
  4. Step 4: Simplify right side
    184,904x = 143,313,730,624
  5. Step 5: Solve for x
    x = 143,313,730,624/184,904
  6. Step 6: Final answer
    x = 775,071.01

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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.