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Finding the Third Proportional to 164,964.75 and 332,487.75

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Solution

The third proportional to 164,964.75 and 332,487.75 is: 670,131.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,964.75 : 332,487.75 = 332,487.75 : x
  2. Step 2: Convert to fraction form
    164,964.75/332,487.75 = 332,487.75/x
  3. Step 3: Cross multiply
    164,964.75x = 332,487.75 × 332,487.75
  4. Step 4: Simplify right side
    164,964.75x = 110,548,103,900.06
  5. Step 5: Solve for x
    x = 110,548,103,900.06/164,964.75
  6. Step 6: Final answer
    x = 670,131.67

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.