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Finding the Third Proportional to 156,268 and 323,615

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Solution

The third proportional to 156,268 and 323,615 is: 670,173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,268 : 323,615 = 323,615 : x
  2. Step 2: Convert to fraction form
    156,268/323,615 = 323,615/x
  3. Step 3: Cross multiply
    156,268x = 323,615 × 323,615
  4. Step 4: Simplify right side
    156,268x = 104,726,668,225
  5. Step 5: Solve for x
    x = 104,726,668,225/156,268
  6. Step 6: Final answer
    x = 670,173.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.