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Finding the Third Proportional to 180,103.50 and 416,907

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Solution

The third proportional to 180,103.50 and 416,907 is: 965,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,103.50 : 416,907 = 416,907 : x
  2. Step 2: Convert to fraction form
    180,103.50/416,907 = 416,907/x
  3. Step 3: Cross multiply
    180,103.50x = 416,907 × 416,907
  4. Step 4: Simplify right side
    180,103.50x = 173,811,446,649
  5. Step 5: Solve for x
    x = 173,811,446,649/180,103.50
  6. Step 6: Final answer
    x = 965,064.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.