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Finding the Third Proportional to 156,682 and 235,372

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Solution

The third proportional to 156,682 and 235,372 is: 353,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,682 : 235,372 = 235,372 : x
  2. Step 2: Convert to fraction form
    156,682/235,372 = 235,372/x
  3. Step 3: Cross multiply
    156,682x = 235,372 × 235,372
  4. Step 4: Simplify right side
    156,682x = 55,399,978,384
  5. Step 5: Solve for x
    x = 55,399,978,384/156,682
  6. Step 6: Final answer
    x = 353,582.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.