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Finding the Third Proportional to 188,541.75 and 263,733

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Solution

The third proportional to 188,541.75 and 263,733 is: 368,910.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,541.75 : 263,733 = 263,733 : x
  2. Step 2: Convert to fraction form
    188,541.75/263,733 = 263,733/x
  3. Step 3: Cross multiply
    188,541.75x = 263,733 × 263,733
  4. Step 4: Simplify right side
    188,541.75x = 69,555,095,289
  5. Step 5: Solve for x
    x = 69,555,095,289/188,541.75
  6. Step 6: Final answer
    x = 368,910.84

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.