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Finding the Third Proportional to 148,884 and 226,806

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Solution

The third proportional to 148,884 and 226,806 is: 345,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,884 : 226,806 = 226,806 : x
  2. Step 2: Convert to fraction form
    148,884/226,806 = 226,806/x
  3. Step 3: Cross multiply
    148,884x = 226,806 × 226,806
  4. Step 4: Simplify right side
    148,884x = 51,440,961,636
  5. Step 5: Solve for x
    x = 51,440,961,636/148,884
  6. Step 6: Final answer
    x = 345,510.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.