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Finding the Third Proportional to 158,949 and 222,766.88

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Solution

The third proportional to 158,949 and 222,766.88 is: 312,207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,949 : 222,766.88 = 222,766.88 : x
  2. Step 2: Convert to fraction form
    158,949/222,766.88 = 222,766.88/x
  3. Step 3: Cross multiply
    158,949x = 222,766.88 × 222,766.88
  4. Step 4: Simplify right side
    158,949x = 49,625,080,597.27
  5. Step 5: Solve for x
    x = 49,625,080,597.27/158,949
  6. Step 6: Final answer
    x = 312,207.57

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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.