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Finding the Third Proportional to 167,456 and 234,230

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Solution

The third proportional to 167,456 and 234,230 is: 327,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,456 : 234,230 = 234,230 : x
  2. Step 2: Convert to fraction form
    167,456/234,230 = 234,230/x
  3. Step 3: Cross multiply
    167,456x = 234,230 × 234,230
  4. Step 4: Simplify right side
    167,456x = 54,863,692,900
  5. Step 5: Solve for x
    x = 54,863,692,900/167,456
  6. Step 6: Final answer
    x = 327,630.50

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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.