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Finding the Third Proportional to 156,723 and 236,225

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Solution

The third proportional to 156,723 and 236,225 is: 356,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,723 : 236,225 = 236,225 : x
  2. Step 2: Convert to fraction form
    156,723/236,225 = 236,225/x
  3. Step 3: Cross multiply
    156,723x = 236,225 × 236,225
  4. Step 4: Simplify right side
    156,723x = 55,802,250,625
  5. Step 5: Solve for x
    x = 55,802,250,625/156,723
  6. Step 6: Final answer
    x = 356,056.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.