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Finding the Third Proportional to 179,956.50 and 416,608.50

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Solution

The third proportional to 179,956.50 and 416,608.50 is: 964,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,956.50 : 416,608.50 = 416,608.50 : x
  2. Step 2: Convert to fraction form
    179,956.50/416,608.50 = 416,608.50/x
  3. Step 3: Cross multiply
    179,956.50x = 416,608.50 × 416,608.50
  4. Step 4: Simplify right side
    179,956.50x = 173,562,642,272.25
  5. Step 5: Solve for x
    x = 173,562,642,272.25/179,956.50
  6. Step 6: Final answer
    x = 964,469.98

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.