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Finding the Third Proportional to 139,329 and 208,669

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Solution

The third proportional to 139,329 and 208,669 is: 312,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,329 : 208,669 = 208,669 : x
  2. Step 2: Convert to fraction form
    139,329/208,669 = 208,669/x
  3. Step 3: Cross multiply
    139,329x = 208,669 × 208,669
  4. Step 4: Simplify right side
    139,329x = 43,542,751,561
  5. Step 5: Solve for x
    x = 43,542,751,561/139,329
  6. Step 6: Final answer
    x = 312,517.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.