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Finding the Third Proportional to 188,422.75 and 410,723.75

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Solution

The third proportional to 188,422.75 and 410,723.75 is: 895,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,422.75 : 410,723.75 = 410,723.75 : x
  2. Step 2: Convert to fraction form
    188,422.75/410,723.75 = 410,723.75/x
  3. Step 3: Cross multiply
    188,422.75x = 410,723.75 × 410,723.75
  4. Step 4: Simplify right side
    188,422.75x = 168,693,998,814.06
  5. Step 5: Solve for x
    x = 168,693,998,814.06/188,422.75
  6. Step 6: Final answer
    x = 895,295.28

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