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Finding the Third Proportional to 148,747.50 and 226,609

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Solution

The third proportional to 148,747.50 and 226,609 is: 345,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,747.50 : 226,609 = 226,609 : x
  2. Step 2: Convert to fraction form
    148,747.50/226,609 = 226,609/x
  3. Step 3: Cross multiply
    148,747.50x = 226,609 × 226,609
  4. Step 4: Simplify right side
    148,747.50x = 51,351,638,881
  5. Step 5: Solve for x
    x = 51,351,638,881/148,747.50
  6. Step 6: Final answer
    x = 345,226.90

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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.