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Finding the Third Proportional to 189,540.94 and 416,989.88

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Solution

The third proportional to 189,540.94 and 416,989.88 is: 917,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,540.94 : 416,989.88 = 416,989.88 : x
  2. Step 2: Convert to fraction form
    189,540.94/416,989.88 = 416,989.88/x
  3. Step 3: Cross multiply
    189,540.94x = 416,989.88 × 416,989.88
  4. Step 4: Simplify right side
    189,540.94x = 173,880,555,852.52
  5. Step 5: Solve for x
    x = 173,880,555,852.52/189,540.94
  6. Step 6: Final answer
    x = 917,377.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.