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Finding the Third Proportional to 226,054.50 and 307,846.50

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Solution

The third proportional to 226,054.50 and 307,846.50 is: 419,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,054.50 : 307,846.50 = 307,846.50 : x
  2. Step 2: Convert to fraction form
    226,054.50/307,846.50 = 307,846.50/x
  3. Step 3: Cross multiply
    226,054.50x = 307,846.50 × 307,846.50
  4. Step 4: Simplify right side
    226,054.50x = 94,769,467,562.25
  5. Step 5: Solve for x
    x = 94,769,467,562.25/226,054.50
  6. Step 6: Final answer
    x = 419,232.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.