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Finding the Third Proportional to 156,842 and 370,193

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Solution

The third proportional to 156,842 and 370,193 is: 873,763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,842 : 370,193 = 370,193 : x
  2. Step 2: Convert to fraction form
    156,842/370,193 = 370,193/x
  3. Step 3: Cross multiply
    156,842x = 370,193 × 370,193
  4. Step 4: Simplify right side
    156,842x = 137,042,857,249
  5. Step 5: Solve for x
    x = 137,042,857,249/156,842
  6. Step 6: Final answer
    x = 873,763.77

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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.