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Finding the Third Proportional to 184,590 and 401,194

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Solution

The third proportional to 184,590 and 401,194 is: 871,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,590 : 401,194 = 401,194 : x
  2. Step 2: Convert to fraction form
    184,590/401,194 = 401,194/x
  3. Step 3: Cross multiply
    184,590x = 401,194 × 401,194
  4. Step 4: Simplify right side
    184,590x = 160,956,625,636
  5. Step 5: Solve for x
    x = 160,956,625,636/184,590
  6. Step 6: Final answer
    x = 871,968.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.