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Finding the Third Proportional to 104,966 and 224,907

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Solution

The third proportional to 104,966 and 224,907 is: 481,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,966 : 224,907 = 224,907 : x
  2. Step 2: Convert to fraction form
    104,966/224,907 = 224,907/x
  3. Step 3: Cross multiply
    104,966x = 224,907 × 224,907
  4. Step 4: Simplify right side
    104,966x = 50,583,158,649
  5. Step 5: Solve for x
    x = 50,583,158,649/104,966
  6. Step 6: Final answer
    x = 481,900.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.