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Finding the Third Proportional to 148,743.75 and 226,601.63

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Solution

The third proportional to 148,743.75 and 226,601.63 is: 345,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,743.75 : 226,601.63 = 226,601.63 : x
  2. Step 2: Convert to fraction form
    148,743.75/226,601.63 = 226,601.63/x
  3. Step 3: Cross multiply
    148,743.75x = 226,601.63 × 226,601.63
  4. Step 4: Simplify right side
    148,743.75x = 51,348,296,452.64
  5. Step 5: Solve for x
    x = 51,348,296,452.64/148,743.75
  6. Step 6: Final answer
    x = 345,213.14

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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.