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Finding the Third Proportional to 227,529 and 306,299.25

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Solution

The third proportional to 227,529 and 306,299.25 is: 412,339.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,529 : 306,299.25 = 306,299.25 : x
  2. Step 2: Convert to fraction form
    227,529/306,299.25 = 306,299.25/x
  3. Step 3: Cross multiply
    227,529x = 306,299.25 × 306,299.25
  4. Step 4: Simplify right side
    227,529x = 93,819,230,550.56
  5. Step 5: Solve for x
    x = 93,819,230,550.56/227,529
  6. Step 6: Final answer
    x = 412,339.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.