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Finding the Third Proportional to 158,968 and 222,808

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Solution

The third proportional to 158,968 and 222,808 is: 312,285.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,968 : 222,808 = 222,808 : x
  2. Step 2: Convert to fraction form
    158,968/222,808 = 222,808/x
  3. Step 3: Cross multiply
    158,968x = 222,808 × 222,808
  4. Step 4: Simplify right side
    158,968x = 49,643,404,864
  5. Step 5: Solve for x
    x = 49,643,404,864/158,968
  6. Step 6: Final answer
    x = 312,285.52

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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.