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Finding the Third Proportional to 155,727.56 and 222,690.52

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Solution

The third proportional to 155,727.56 and 222,690.52 is: 318,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,727.56 : 222,690.52 = 222,690.52 : x
  2. Step 2: Convert to fraction form
    155,727.56/222,690.52 = 222,690.52/x
  3. Step 3: Cross multiply
    155,727.56x = 222,690.52 × 222,690.52
  4. Step 4: Simplify right side
    155,727.56x = 49,591,065,749.33
  5. Step 5: Solve for x
    x = 49,591,065,749.33/155,727.56
  6. Step 6: Final answer
    x = 318,447.58

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.