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Finding the Third Proportional to 151,786.50 and 226,450.50

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Solution

The third proportional to 151,786.50 and 226,450.50 is: 337,841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,786.50 : 226,450.50 = 226,450.50 : x
  2. Step 2: Convert to fraction form
    151,786.50/226,450.50 = 226,450.50/x
  3. Step 3: Cross multiply
    151,786.50x = 226,450.50 × 226,450.50
  4. Step 4: Simplify right side
    151,786.50x = 51,279,828,950.25
  5. Step 5: Solve for x
    x = 51,279,828,950.25/151,786.50
  6. Step 6: Final answer
    x = 337,841.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.