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Finding the Third Proportional to 89,448 and 184,568

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Solution

The third proportional to 89,448 and 184,568 is: 380,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,448 : 184,568 = 184,568 : x
  2. Step 2: Convert to fraction form
    89,448/184,568 = 184,568/x
  3. Step 3: Cross multiply
    89,448x = 184,568 × 184,568
  4. Step 4: Simplify right side
    89,448x = 34,065,346,624
  5. Step 5: Solve for x
    x = 34,065,346,624/89,448
  6. Step 6: Final answer
    x = 380,839.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.