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Finding the Third Proportional to 148,739.63 and 226,596.38

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Solution

The third proportional to 148,739.63 and 226,596.38 is: 345,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,739.63 : 226,596.38 = 226,596.38 : x
  2. Step 2: Convert to fraction form
    148,739.63/226,596.38 = 226,596.38/x
  3. Step 3: Cross multiply
    148,739.63x = 226,596.38 × 226,596.38
  4. Step 4: Simplify right side
    148,739.63x = 51,345,917,163.14
  5. Step 5: Solve for x
    x = 51,345,917,163.14/148,739.63
  6. Step 6: Final answer
    x = 345,206.71

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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.