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Finding the Third Proportional to 155,772.75 and 222,758.25

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Solution

The third proportional to 155,772.75 and 222,758.25 is: 318,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,772.75 : 222,758.25 = 222,758.25 : x
  2. Step 2: Convert to fraction form
    155,772.75/222,758.25 = 222,758.25/x
  3. Step 3: Cross multiply
    155,772.75x = 222,758.25 × 222,758.25
  4. Step 4: Simplify right side
    155,772.75x = 49,621,237,943.06
  5. Step 5: Solve for x
    x = 49,621,237,943.06/155,772.75
  6. Step 6: Final answer
    x = 318,548.90

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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.