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Finding the Third Proportional to 139,247 and 294,368

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Solution

The third proportional to 139,247 and 294,368 is: 622,293.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,247 : 294,368 = 294,368 : x
  2. Step 2: Convert to fraction form
    139,247/294,368 = 294,368/x
  3. Step 3: Cross multiply
    139,247x = 294,368 × 294,368
  4. Step 4: Simplify right side
    139,247x = 86,652,519,424
  5. Step 5: Solve for x
    x = 86,652,519,424/139,247
  6. Step 6: Final answer
    x = 622,293.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.