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Finding the Third Proportional to 180,991.75 and 238,007.63

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Solution

The third proportional to 180,991.75 and 238,007.63 is: 312,984.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,991.75 : 238,007.63 = 238,007.63 : x
  2. Step 2: Convert to fraction form
    180,991.75/238,007.63 = 238,007.63/x
  3. Step 3: Cross multiply
    180,991.75x = 238,007.63 × 238,007.63
  4. Step 4: Simplify right side
    180,991.75x = 56,647,629,558.14
  5. Step 5: Solve for x
    x = 56,647,629,558.14/180,991.75
  6. Step 6: Final answer
    x = 312,984.59

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.