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Finding the Third Proportional to 148,721.50 and 226,566.50

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Solution

The third proportional to 148,721.50 and 226,566.50 is: 345,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,721.50 : 226,566.50 = 226,566.50 : x
  2. Step 2: Convert to fraction form
    148,721.50/226,566.50 = 226,566.50/x
  3. Step 3: Cross multiply
    148,721.50x = 226,566.50 × 226,566.50
  4. Step 4: Simplify right side
    148,721.50x = 51,332,378,922.25
  5. Step 5: Solve for x
    x = 51,332,378,922.25/148,721.50
  6. Step 6: Final answer
    x = 345,157.75

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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.