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Finding the Third Proportional to 188,751.75 and 290,235.75

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Solution

The third proportional to 188,751.75 and 290,235.75 is: 446,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,751.75 : 290,235.75 = 290,235.75 : x
  2. Step 2: Convert to fraction form
    188,751.75/290,235.75 = 290,235.75/x
  3. Step 3: Cross multiply
    188,751.75x = 290,235.75 × 290,235.75
  4. Step 4: Simplify right side
    188,751.75x = 84,236,790,578.06
  5. Step 5: Solve for x
    x = 84,236,790,578.06/188,751.75
  6. Step 6: Final answer
    x = 446,283.49

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.