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Finding the Third Proportional to 154,204 and 356,960

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Solution

The third proportional to 154,204 and 356,960 is: 826,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,204 : 356,960 = 356,960 : x
  2. Step 2: Convert to fraction form
    154,204/356,960 = 356,960/x
  3. Step 3: Cross multiply
    154,204x = 356,960 × 356,960
  4. Step 4: Simplify right side
    154,204x = 127,420,441,600
  5. Step 5: Solve for x
    x = 127,420,441,600/154,204
  6. Step 6: Final answer
    x = 826,310.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.