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Finding the Third Proportional to 184,369.92 and 401,186.04

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Solution

The third proportional to 184,369.92 and 401,186.04 is: 872,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,369.92 : 401,186.04 = 401,186.04 : x
  2. Step 2: Convert to fraction form
    184,369.92/401,186.04 = 401,186.04/x
  3. Step 3: Cross multiply
    184,369.92x = 401,186.04 × 401,186.04
  4. Step 4: Simplify right side
    184,369.92x = 160,950,237,938.66
  5. Step 5: Solve for x
    x = 160,950,237,938.66/184,369.92
  6. Step 6: Final answer
    x = 872,974.49

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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.