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Finding the Third Proportional to 156,008 and 368,150

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Solution

The third proportional to 156,008 and 368,150 is: 868,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,008 : 368,150 = 368,150 : x
  2. Step 2: Convert to fraction form
    156,008/368,150 = 368,150/x
  3. Step 3: Cross multiply
    156,008x = 368,150 × 368,150
  4. Step 4: Simplify right side
    156,008x = 135,534,422,500
  5. Step 5: Solve for x
    x = 135,534,422,500/156,008
  6. Step 6: Final answer
    x = 868,765.85

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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.