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Finding the Third Proportional to 156,093 and 233,512

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Solution

The third proportional to 156,093 and 233,512 is: 349,329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,093 : 233,512 = 233,512 : x
  2. Step 2: Convert to fraction form
    156,093/233,512 = 233,512/x
  3. Step 3: Cross multiply
    156,093x = 233,512 × 233,512
  4. Step 4: Simplify right side
    156,093x = 54,527,854,144
  5. Step 5: Solve for x
    x = 54,527,854,144/156,093
  6. Step 6: Final answer
    x = 349,329.27

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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.