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Finding the Third Proportional to 156,795 and 206,031

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Solution

The third proportional to 156,795 and 206,031 is: 270,727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,795 : 206,031 = 206,031 : x
  2. Step 2: Convert to fraction form
    156,795/206,031 = 206,031/x
  3. Step 3: Cross multiply
    156,795x = 206,031 × 206,031
  4. Step 4: Simplify right side
    156,795x = 42,448,772,961
  5. Step 5: Solve for x
    x = 42,448,772,961/156,795
  6. Step 6: Final answer
    x = 270,727.85

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.