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Finding the Third Proportional to 227,226.75 and 345,561.75

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Solution

The third proportional to 227,226.75 and 345,561.75 is: 525,523.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,226.75 : 345,561.75 = 345,561.75 : x
  2. Step 2: Convert to fraction form
    227,226.75/345,561.75 = 345,561.75/x
  3. Step 3: Cross multiply
    227,226.75x = 345,561.75 × 345,561.75
  4. Step 4: Simplify right side
    227,226.75x = 119,412,923,063.06
  5. Step 5: Solve for x
    x = 119,412,923,063.06/227,226.75
  6. Step 6: Final answer
    x = 525,523.17

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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.