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Finding the Third Proportional to 139,094 and 303,668

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Solution

The third proportional to 139,094 and 303,668 is: 662,963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,094 : 303,668 = 303,668 : x
  2. Step 2: Convert to fraction form
    139,094/303,668 = 303,668/x
  3. Step 3: Cross multiply
    139,094x = 303,668 × 303,668
  4. Step 4: Simplify right side
    139,094x = 92,214,254,224
  5. Step 5: Solve for x
    x = 92,214,254,224/139,094
  6. Step 6: Final answer
    x = 662,963.57

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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.