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Finding the Third Proportional to 149,572.50 and 222,010.25

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Solution

The third proportional to 149,572.50 and 222,010.25 is: 329,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,572.50 : 222,010.25 = 222,010.25 : x
  2. Step 2: Convert to fraction form
    149,572.50/222,010.25 = 222,010.25/x
  3. Step 3: Cross multiply
    149,572.50x = 222,010.25 × 222,010.25
  4. Step 4: Simplify right side
    149,572.50x = 49,288,551,105.06
  5. Step 5: Solve for x
    x = 49,288,551,105.06/149,572.50
  6. Step 6: Final answer
    x = 329,529.50

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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.