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Finding the Third Proportional to 184,878 and 378,517

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Solution

The third proportional to 184,878 and 378,517 is: 774,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,878 : 378,517 = 378,517 : x
  2. Step 2: Convert to fraction form
    184,878/378,517 = 378,517/x
  3. Step 3: Cross multiply
    184,878x = 378,517 × 378,517
  4. Step 4: Simplify right side
    184,878x = 143,275,119,289
  5. Step 5: Solve for x
    x = 143,275,119,289/184,878
  6. Step 6: Final answer
    x = 774,971.17

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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.