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Finding the Third Proportional to 156,795 and 370,067

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Solution

The third proportional to 156,795 and 370,067 is: 873,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,795 : 370,067 = 370,067 : x
  2. Step 2: Convert to fraction form
    156,795/370,067 = 370,067/x
  3. Step 3: Cross multiply
    156,795x = 370,067 × 370,067
  4. Step 4: Simplify right side
    156,795x = 136,949,584,489
  5. Step 5: Solve for x
    x = 136,949,584,489/156,795
  6. Step 6: Final answer
    x = 873,430.81

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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.