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Finding the Third Proportional to 139,033.25 and 303,551.50

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Solution

The third proportional to 139,033.25 and 303,551.50 is: 662,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,033.25 : 303,551.50 = 303,551.50 : x
  2. Step 2: Convert to fraction form
    139,033.25/303,551.50 = 303,551.50/x
  3. Step 3: Cross multiply
    139,033.25x = 303,551.50 × 303,551.50
  4. Step 4: Simplify right side
    139,033.25x = 92,143,513,152.25
  5. Step 5: Solve for x
    x = 92,143,513,152.25/139,033.25
  6. Step 6: Final answer
    x = 662,744.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.