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Finding the Third Proportional to 150,150 and 329,830

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Solution

The third proportional to 150,150 and 329,830 is: 724,527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,150 : 329,830 = 329,830 : x
  2. Step 2: Convert to fraction form
    150,150/329,830 = 329,830/x
  3. Step 3: Cross multiply
    150,150x = 329,830 × 329,830
  4. Step 4: Simplify right side
    150,150x = 108,787,828,900
  5. Step 5: Solve for x
    x = 108,787,828,900/150,150
  6. Step 6: Final answer
    x = 724,527.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.