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Finding the Third Proportional to 167,960.50 and 256,821

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Solution

The third proportional to 167,960.50 and 256,821 is: 392,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,960.50 : 256,821 = 256,821 : x
  2. Step 2: Convert to fraction form
    167,960.50/256,821 = 256,821/x
  3. Step 3: Cross multiply
    167,960.50x = 256,821 × 256,821
  4. Step 4: Simplify right side
    167,960.50x = 65,957,026,041
  5. Step 5: Solve for x
    x = 65,957,026,041/167,960.50
  6. Step 6: Final answer
    x = 392,693.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.