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Finding the Third Proportional to 167,458 and 234,232

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Solution

The third proportional to 167,458 and 234,232 is: 327,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,458 : 234,232 = 234,232 : x
  2. Step 2: Convert to fraction form
    167,458/234,232 = 234,232/x
  3. Step 3: Cross multiply
    167,458x = 234,232 × 234,232
  4. Step 4: Simplify right side
    167,458x = 54,864,629,824
  5. Step 5: Solve for x
    x = 54,864,629,824/167,458
  6. Step 6: Final answer
    x = 327,632.18

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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.