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Finding the Third Proportional to 223,581.75 and 332,331.75

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Solution

The third proportional to 223,581.75 and 332,331.75 is: 493,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,581.75 : 332,331.75 = 332,331.75 : x
  2. Step 2: Convert to fraction form
    223,581.75/332,331.75 = 332,331.75/x
  3. Step 3: Cross multiply
    223,581.75x = 332,331.75 × 332,331.75
  4. Step 4: Simplify right side
    223,581.75x = 110,444,392,058.06
  5. Step 5: Solve for x
    x = 110,444,392,058.06/223,581.75
  6. Step 6: Final answer
    x = 493,977.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.