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Finding the Third Proportional to 184,544 and 401,072

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Solution

The third proportional to 184,544 and 401,072 is: 871,655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,544 : 401,072 = 401,072 : x
  2. Step 2: Convert to fraction form
    184,544/401,072 = 401,072/x
  3. Step 3: Cross multiply
    184,544x = 401,072 × 401,072
  4. Step 4: Simplify right side
    184,544x = 160,858,749,184
  5. Step 5: Solve for x
    x = 160,858,749,184/184,544
  6. Step 6: Final answer
    x = 871,655.26

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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.