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Finding the Third Proportional to 149,166 and 223,869

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Solution

The third proportional to 149,166 and 223,869 is: 335,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,166 : 223,869 = 223,869 : x
  2. Step 2: Convert to fraction form
    149,166/223,869 = 223,869/x
  3. Step 3: Cross multiply
    149,166x = 223,869 × 223,869
  4. Step 4: Simplify right side
    149,166x = 50,117,329,161
  5. Step 5: Solve for x
    x = 50,117,329,161/149,166
  6. Step 6: Final answer
    x = 335,983.60

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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.