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Finding the Third Proportional to 139,596 and 222,343.50

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Solution

The third proportional to 139,596 and 222,343.50 is: 354,140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,596 : 222,343.50 = 222,343.50 : x
  2. Step 2: Convert to fraction form
    139,596/222,343.50 = 222,343.50/x
  3. Step 3: Cross multiply
    139,596x = 222,343.50 × 222,343.50
  4. Step 4: Simplify right side
    139,596x = 49,436,631,992.25
  5. Step 5: Solve for x
    x = 49,436,631,992.25/139,596
  6. Step 6: Final answer
    x = 354,140.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.