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Finding the Third Proportional to 179,263 and 393,518

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Solution

The third proportional to 179,263 and 393,518 is: 863,850.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,263 : 393,518 = 393,518 : x
  2. Step 2: Convert to fraction form
    179,263/393,518 = 393,518/x
  3. Step 3: Cross multiply
    179,263x = 393,518 × 393,518
  4. Step 4: Simplify right side
    179,263x = 154,856,416,324
  5. Step 5: Solve for x
    x = 154,856,416,324/179,263
  6. Step 6: Final answer
    x = 863,850.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.