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Finding the Third Proportional to 154,819.50 and 246,324

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Solution

The third proportional to 154,819.50 and 246,324 is: 391,911.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,819.50 : 246,324 = 246,324 : x
  2. Step 2: Convert to fraction form
    154,819.50/246,324 = 246,324/x
  3. Step 3: Cross multiply
    154,819.50x = 246,324 × 246,324
  4. Step 4: Simplify right side
    154,819.50x = 60,675,512,976
  5. Step 5: Solve for x
    x = 60,675,512,976/154,819.50
  6. Step 6: Final answer
    x = 391,911.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.