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Finding the Third Proportional to 219,074.63 and 332,727.75

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Solution

The third proportional to 219,074.63 and 332,727.75 is: 505,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,074.63 : 332,727.75 = 332,727.75 : x
  2. Step 2: Convert to fraction form
    219,074.63/332,727.75 = 332,727.75/x
  3. Step 3: Cross multiply
    219,074.63x = 332,727.75 × 332,727.75
  4. Step 4: Simplify right side
    219,074.63x = 110,707,755,620.06
  5. Step 5: Solve for x
    x = 110,707,755,620.06/219,074.63
  6. Step 6: Final answer
    x = 505,342.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.