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Finding the Third Proportional to 188,965.75 and 286,447.75

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Solution

The third proportional to 188,965.75 and 286,447.75 is: 434,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,965.75 : 286,447.75 = 286,447.75 : x
  2. Step 2: Convert to fraction form
    188,965.75/286,447.75 = 286,447.75/x
  3. Step 3: Cross multiply
    188,965.75x = 286,447.75 × 286,447.75
  4. Step 4: Simplify right side
    188,965.75x = 82,052,313,480.06
  5. Step 5: Solve for x
    x = 82,052,313,480.06/188,965.75
  6. Step 6: Final answer
    x = 434,217.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.