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Finding the Third Proportional to 167,339.75 and 254,932

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Solution

The third proportional to 167,339.75 and 254,932 is: 388,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,339.75 : 254,932 = 254,932 : x
  2. Step 2: Convert to fraction form
    167,339.75/254,932 = 254,932/x
  3. Step 3: Cross multiply
    167,339.75x = 254,932 × 254,932
  4. Step 4: Simplify right side
    167,339.75x = 64,990,324,624
  5. Step 5: Solve for x
    x = 64,990,324,624/167,339.75
  6. Step 6: Final answer
    x = 388,373.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.