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Finding the Third Proportional to 226,000.50 and 306,936.75

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Solution

The third proportional to 226,000.50 and 306,936.75 is: 416,858.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,000.50 : 306,936.75 = 306,936.75 : x
  2. Step 2: Convert to fraction form
    226,000.50/306,936.75 = 306,936.75/x
  3. Step 3: Cross multiply
    226,000.50x = 306,936.75 × 306,936.75
  4. Step 4: Simplify right side
    226,000.50x = 94,210,168,500.56
  5. Step 5: Solve for x
    x = 94,210,168,500.56/226,000.50
  6. Step 6: Final answer
    x = 416,858.23

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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.