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Finding the Third Proportional to 149,571 and 222,016.50

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Solution

The third proportional to 149,571 and 222,016.50 is: 329,551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,571 : 222,016.50 = 222,016.50 : x
  2. Step 2: Convert to fraction form
    149,571/222,016.50 = 222,016.50/x
  3. Step 3: Cross multiply
    149,571x = 222,016.50 × 222,016.50
  4. Step 4: Simplify right side
    149,571x = 49,291,326,272.25
  5. Step 5: Solve for x
    x = 49,291,326,272.25/149,571
  6. Step 6: Final answer
    x = 329,551.36

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.