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Finding the Third Proportional to 150,146 and 329,823

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Solution

The third proportional to 150,146 and 329,823 is: 724,516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,146 : 329,823 = 329,823 : x
  2. Step 2: Convert to fraction form
    150,146/329,823 = 329,823/x
  3. Step 3: Cross multiply
    150,146x = 329,823 × 329,823
  4. Step 4: Simplify right side
    150,146x = 108,783,211,329
  5. Step 5: Solve for x
    x = 108,783,211,329/150,146
  6. Step 6: Final answer
    x = 724,516.21

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Why These Related Problems?

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