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Finding the Third Proportional to 143,647 and 305,450

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Solution

The third proportional to 143,647 and 305,450 is: 649,506.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,647 : 305,450 = 305,450 : x
  2. Step 2: Convert to fraction form
    143,647/305,450 = 305,450/x
  3. Step 3: Cross multiply
    143,647x = 305,450 × 305,450
  4. Step 4: Simplify right side
    143,647x = 93,299,702,500
  5. Step 5: Solve for x
    x = 93,299,702,500/143,647
  6. Step 6: Final answer
    x = 649,506.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.