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Finding the Third Proportional to 139,378.50 and 303,621

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Solution

The third proportional to 139,378.50 and 303,621 is: 661,405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,378.50 : 303,621 = 303,621 : x
  2. Step 2: Convert to fraction form
    139,378.50/303,621 = 303,621/x
  3. Step 3: Cross multiply
    139,378.50x = 303,621 × 303,621
  4. Step 4: Simplify right side
    139,378.50x = 92,185,711,641
  5. Step 5: Solve for x
    x = 92,185,711,641/139,378.50
  6. Step 6: Final answer
    x = 661,405.54

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Why These Related Problems?

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