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Finding the Third Proportional to 156,013 and 368,162

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Solution

The third proportional to 156,013 and 368,162 is: 868,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,013 : 368,162 = 368,162 : x
  2. Step 2: Convert to fraction form
    156,013/368,162 = 368,162/x
  3. Step 3: Cross multiply
    156,013x = 368,162 × 368,162
  4. Step 4: Simplify right side
    156,013x = 135,543,258,244
  5. Step 5: Solve for x
    x = 135,543,258,244/156,013
  6. Step 6: Final answer
    x = 868,794.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.