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Finding the Third Proportional to 150,907 and 319,803

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Solution

The third proportional to 150,907 and 319,803 is: 677,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,907 : 319,803 = 319,803 : x
  2. Step 2: Convert to fraction form
    150,907/319,803 = 319,803/x
  3. Step 3: Cross multiply
    150,907x = 319,803 × 319,803
  4. Step 4: Simplify right side
    150,907x = 102,273,958,809
  5. Step 5: Solve for x
    x = 102,273,958,809/150,907
  6. Step 6: Final answer
    x = 677,728.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.