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Finding the Third Proportional to 158,984.25 and 222,816

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Solution

The third proportional to 158,984.25 and 222,816 is: 312,276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,984.25 : 222,816 = 222,816 : x
  2. Step 2: Convert to fraction form
    158,984.25/222,816 = 222,816/x
  3. Step 3: Cross multiply
    158,984.25x = 222,816 × 222,816
  4. Step 4: Simplify right side
    158,984.25x = 49,646,969,856
  5. Step 5: Solve for x
    x = 49,646,969,856/158,984.25
  6. Step 6: Final answer
    x = 312,276.03

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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.