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Finding the Third Proportional to 156,002 and 336,532

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Solution

The third proportional to 156,002 and 336,532 is: 725,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,002 : 336,532 = 336,532 : x
  2. Step 2: Convert to fraction form
    156,002/336,532 = 336,532/x
  3. Step 3: Cross multiply
    156,002x = 336,532 × 336,532
  4. Step 4: Simplify right side
    156,002x = 113,253,787,024
  5. Step 5: Solve for x
    x = 113,253,787,024/156,002
  6. Step 6: Final answer
    x = 725,976.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.