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Finding the Third Proportional to 150,037 and 325,834

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Solution

The third proportional to 150,037 and 325,834 is: 707,610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,037 : 325,834 = 325,834 : x
  2. Step 2: Convert to fraction form
    150,037/325,834 = 325,834/x
  3. Step 3: Cross multiply
    150,037x = 325,834 × 325,834
  4. Step 4: Simplify right side
    150,037x = 106,167,795,556
  5. Step 5: Solve for x
    x = 106,167,795,556/150,037
  6. Step 6: Final answer
    x = 707,610.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.