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Finding the Third Proportional to 148,467 and 330,054

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Solution

The third proportional to 148,467 and 330,054 is: 733,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,467 : 330,054 = 330,054 : x
  2. Step 2: Convert to fraction form
    148,467/330,054 = 330,054/x
  3. Step 3: Cross multiply
    148,467x = 330,054 × 330,054
  4. Step 4: Simplify right side
    148,467x = 108,935,642,916
  5. Step 5: Solve for x
    x = 108,935,642,916/148,467
  6. Step 6: Final answer
    x = 733,736.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.