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Finding the Third Proportional to 143,634 and 218,043

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Solution

The third proportional to 143,634 and 218,043 is: 330,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,634 : 218,043 = 218,043 : x
  2. Step 2: Convert to fraction form
    143,634/218,043 = 218,043/x
  3. Step 3: Cross multiply
    143,634x = 218,043 × 218,043
  4. Step 4: Simplify right side
    143,634x = 47,542,749,849
  5. Step 5: Solve for x
    x = 47,542,749,849/143,634
  6. Step 6: Final answer
    x = 330,999.27

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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.