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Finding the Third Proportional to 167,448 and 234,219

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Solution

The third proportional to 167,448 and 234,219 is: 327,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,448 : 234,219 = 234,219 : x
  2. Step 2: Convert to fraction form
    167,448/234,219 = 234,219/x
  3. Step 3: Cross multiply
    167,448x = 234,219 × 234,219
  4. Step 4: Simplify right side
    167,448x = 54,858,539,961
  5. Step 5: Solve for x
    x = 54,858,539,961/167,448
  6. Step 6: Final answer
    x = 327,615.38

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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.