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Finding the Third Proportional to 139,238 and 224,193

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Solution

The third proportional to 139,238 and 224,193 is: 360,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,238 : 224,193 = 224,193 : x
  2. Step 2: Convert to fraction form
    139,238/224,193 = 224,193/x
  3. Step 3: Cross multiply
    139,238x = 224,193 × 224,193
  4. Step 4: Simplify right side
    139,238x = 50,262,501,249
  5. Step 5: Solve for x
    x = 50,262,501,249/139,238
  6. Step 6: Final answer
    x = 360,982.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.