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Finding the Third Proportional to 149,907 and 230,649

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Solution

The third proportional to 149,907 and 230,649 is: 354,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,907 : 230,649 = 230,649 : x
  2. Step 2: Convert to fraction form
    149,907/230,649 = 230,649/x
  3. Step 3: Cross multiply
    149,907x = 230,649 × 230,649
  4. Step 4: Simplify right side
    149,907x = 53,198,961,201
  5. Step 5: Solve for x
    x = 53,198,961,201/149,907
  6. Step 6: Final answer
    x = 354,879.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.