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Finding the Third Proportional to 180,964 and 394,052

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Solution

The third proportional to 180,964 and 394,052 is: 858,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,964 : 394,052 = 394,052 : x
  2. Step 2: Convert to fraction form
    180,964/394,052 = 394,052/x
  3. Step 3: Cross multiply
    180,964x = 394,052 × 394,052
  4. Step 4: Simplify right side
    180,964x = 155,276,978,704
  5. Step 5: Solve for x
    x = 155,276,978,704/180,964
  6. Step 6: Final answer
    x = 858,054.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.