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Finding the Third Proportional to 139,622 and 301,648

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Solution

The third proportional to 139,622 and 301,648 is: 651,698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,622 : 301,648 = 301,648 : x
  2. Step 2: Convert to fraction form
    139,622/301,648 = 301,648/x
  3. Step 3: Cross multiply
    139,622x = 301,648 × 301,648
  4. Step 4: Simplify right side
    139,622x = 90,991,515,904
  5. Step 5: Solve for x
    x = 90,991,515,904/139,622
  6. Step 6: Final answer
    x = 651,698.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.