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Finding the Third Proportional to 156,744 and 235,493

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Solution

The third proportional to 156,744 and 235,493 is: 353,805.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,744 : 235,493 = 235,493 : x
  2. Step 2: Convert to fraction form
    156,744/235,493 = 235,493/x
  3. Step 3: Cross multiply
    156,744x = 235,493 × 235,493
  4. Step 4: Simplify right side
    156,744x = 55,456,953,049
  5. Step 5: Solve for x
    x = 55,456,953,049/156,744
  6. Step 6: Final answer
    x = 353,805.91

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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.