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Finding the Third Proportional to 167,453.50 and 234,227

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Solution

The third proportional to 167,453.50 and 234,227 is: 327,627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,453.50 : 234,227 = 234,227 : x
  2. Step 2: Convert to fraction form
    167,453.50/234,227 = 234,227/x
  3. Step 3: Cross multiply
    167,453.50x = 234,227 × 234,227
  4. Step 4: Simplify right side
    167,453.50x = 54,862,287,529
  5. Step 5: Solve for x
    x = 54,862,287,529/167,453.50
  6. Step 6: Final answer
    x = 327,627.00

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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.