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Finding the Third Proportional to 167,825 and 234,645

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Solution

The third proportional to 167,825 and 234,645 is: 328,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,825 : 234,645 = 234,645 : x
  2. Step 2: Convert to fraction form
    167,825/234,645 = 234,645/x
  3. Step 3: Cross multiply
    167,825x = 234,645 × 234,645
  4. Step 4: Simplify right side
    167,825x = 55,058,276,025
  5. Step 5: Solve for x
    x = 55,058,276,025/167,825
  6. Step 6: Final answer
    x = 328,069.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.