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Finding the Third Proportional to 167,940 and 253,530

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Solution

The third proportional to 167,940 and 253,530 is: 382,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,940 : 253,530 = 253,530 : x
  2. Step 2: Convert to fraction form
    167,940/253,530 = 253,530/x
  3. Step 3: Cross multiply
    167,940x = 253,530 × 253,530
  4. Step 4: Simplify right side
    167,940x = 64,277,460,900
  5. Step 5: Solve for x
    x = 64,277,460,900/167,940
  6. Step 6: Final answer
    x = 382,740.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.