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Finding the Third Proportional to 139,538.50 and 222,772

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Solution

The third proportional to 139,538.50 and 222,772 is: 355,653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,538.50 : 222,772 = 222,772 : x
  2. Step 2: Convert to fraction form
    139,538.50/222,772 = 222,772/x
  3. Step 3: Cross multiply
    139,538.50x = 222,772 × 222,772
  4. Step 4: Simplify right side
    139,538.50x = 49,627,363,984
  5. Step 5: Solve for x
    x = 49,627,363,984/139,538.50
  6. Step 6: Final answer
    x = 355,653.56

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.