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Finding the Third Proportional to 164,326 and 234,825

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Solution

The third proportional to 164,326 and 234,825 is: 335,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,326 : 234,825 = 234,825 : x
  2. Step 2: Convert to fraction form
    164,326/234,825 = 234,825/x
  3. Step 3: Cross multiply
    164,326x = 234,825 × 234,825
  4. Step 4: Simplify right side
    164,326x = 55,142,780,625
  5. Step 5: Solve for x
    x = 55,142,780,625/164,326
  6. Step 6: Final answer
    x = 335,569.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.