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Finding the Third Proportional to 149,623.88 and 224,550.56

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Solution

The third proportional to 149,623.88 and 224,550.56 is: 336,998.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,623.88 : 224,550.56 = 224,550.56 : x
  2. Step 2: Convert to fraction form
    149,623.88/224,550.56 = 224,550.56/x
  3. Step 3: Cross multiply
    149,623.88x = 224,550.56 × 224,550.56
  4. Step 4: Simplify right side
    149,623.88x = 50,422,955,119.07
  5. Step 5: Solve for x
    x = 50,422,955,119.07/149,623.88
  6. Step 6: Final answer
    x = 336,998.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.