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Finding the Third Proportional to 143,763 and 313,631

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Solution

The third proportional to 143,763 and 313,631 is: 684,212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,763 : 313,631 = 313,631 : x
  2. Step 2: Convert to fraction form
    143,763/313,631 = 313,631/x
  3. Step 3: Cross multiply
    143,763x = 313,631 × 313,631
  4. Step 4: Simplify right side
    143,763x = 98,364,404,161
  5. Step 5: Solve for x
    x = 98,364,404,161/143,763
  6. Step 6: Final answer
    x = 684,212.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.