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Finding the Third Proportional to 156,104 and 368,084

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Solution

The third proportional to 156,104 and 368,084 is: 867,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,104 : 368,084 = 368,084 : x
  2. Step 2: Convert to fraction form
    156,104/368,084 = 368,084/x
  3. Step 3: Cross multiply
    156,104x = 368,084 × 368,084
  4. Step 4: Simplify right side
    156,104x = 135,485,831,056
  5. Step 5: Solve for x
    x = 135,485,831,056/156,104
  6. Step 6: Final answer
    x = 867,920.30

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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.