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Finding the Third Proportional to 139,298 and 208,950

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Solution

The third proportional to 139,298 and 208,950 is: 313,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,298 : 208,950 = 208,950 : x
  2. Step 2: Convert to fraction form
    139,298/208,950 = 208,950/x
  3. Step 3: Cross multiply
    139,298x = 208,950 × 208,950
  4. Step 4: Simplify right side
    139,298x = 43,660,102,500
  5. Step 5: Solve for x
    x = 43,660,102,500/139,298
  6. Step 6: Final answer
    x = 313,429.50

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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.