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Finding the Third Proportional to 139,322 and 295,204

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Solution

The third proportional to 139,322 and 295,204 is: 625,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,322 : 295,204 = 295,204 : x
  2. Step 2: Convert to fraction form
    139,322/295,204 = 295,204/x
  3. Step 3: Cross multiply
    139,322x = 295,204 × 295,204
  4. Step 4: Simplify right side
    139,322x = 87,145,401,616
  5. Step 5: Solve for x
    x = 87,145,401,616/139,322
  6. Step 6: Final answer
    x = 625,496.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.