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Finding the Third Proportional to 184,284 and 401,918

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Solution

The third proportional to 184,284 and 401,918 is: 876,571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,284 : 401,918 = 401,918 : x
  2. Step 2: Convert to fraction form
    184,284/401,918 = 401,918/x
  3. Step 3: Cross multiply
    184,284x = 401,918 × 401,918
  4. Step 4: Simplify right side
    184,284x = 161,538,078,724
  5. Step 5: Solve for x
    x = 161,538,078,724/184,284
  6. Step 6: Final answer
    x = 876,571.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.