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Finding the Third Proportional to 184,908 and 378,578

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Solution

The third proportional to 184,908 and 378,578 is: 775,095.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,908 : 378,578 = 378,578 : x
  2. Step 2: Convert to fraction form
    184,908/378,578 = 378,578/x
  3. Step 3: Cross multiply
    184,908x = 378,578 × 378,578
  4. Step 4: Simplify right side
    184,908x = 143,321,302,084
  5. Step 5: Solve for x
    x = 143,321,302,084/184,908
  6. Step 6: Final answer
    x = 775,095.19

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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.