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Finding the Third Proportional to 184,171 and 259,956.25

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Solution

The third proportional to 184,171 and 259,956.25 is: 366,926.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,171 : 259,956.25 = 259,956.25 : x
  2. Step 2: Convert to fraction form
    184,171/259,956.25 = 259,956.25/x
  3. Step 3: Cross multiply
    184,171x = 259,956.25 × 259,956.25
  4. Step 4: Simplify right side
    184,171x = 67,577,251,914.06
  5. Step 5: Solve for x
    x = 67,577,251,914.06/184,171
  6. Step 6: Final answer
    x = 366,926.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.