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Finding the Third Proportional to 149,291 and 223,843

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Solution

The third proportional to 149,291 and 223,843 is: 335,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,291 : 223,843 = 223,843 : x
  2. Step 2: Convert to fraction form
    149,291/223,843 = 223,843/x
  3. Step 3: Cross multiply
    149,291x = 223,843 × 223,843
  4. Step 4: Simplify right side
    149,291x = 50,105,688,649
  5. Step 5: Solve for x
    x = 50,105,688,649/149,291
  6. Step 6: Final answer
    x = 335,624.31

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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.