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Finding the Third Proportional to 156,102 and 368,079

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Solution

The third proportional to 156,102 and 368,079 is: 867,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,102 : 368,079 = 368,079 : x
  2. Step 2: Convert to fraction form
    156,102/368,079 = 368,079/x
  3. Step 3: Cross multiply
    156,102x = 368,079 × 368,079
  4. Step 4: Simplify right side
    156,102x = 135,482,150,241
  5. Step 5: Solve for x
    x = 135,482,150,241/156,102
  6. Step 6: Final answer
    x = 867,907.84

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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.