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Finding the Third Proportional to 154,474.50 and 226,700.25

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Solution

The third proportional to 154,474.50 and 226,700.25 is: 332,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,474.50 : 226,700.25 = 226,700.25 : x
  2. Step 2: Convert to fraction form
    154,474.50/226,700.25 = 226,700.25/x
  3. Step 3: Cross multiply
    154,474.50x = 226,700.25 × 226,700.25
  4. Step 4: Simplify right side
    154,474.50x = 51,393,003,350.06
  5. Step 5: Solve for x
    x = 51,393,003,350.06/154,474.50
  6. Step 6: Final answer
    x = 332,695.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.