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Finding the Third Proportional to 167,326 and 254,909

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Solution

The third proportional to 167,326 and 254,909 is: 388,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,326 : 254,909 = 254,909 : x
  2. Step 2: Convert to fraction form
    167,326/254,909 = 254,909/x
  3. Step 3: Cross multiply
    167,326x = 254,909 × 254,909
  4. Step 4: Simplify right side
    167,326x = 64,978,598,281
  5. Step 5: Solve for x
    x = 64,978,598,281/167,326
  6. Step 6: Final answer
    x = 388,335.34

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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.