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Finding the Third Proportional to 167,028 and 258,678

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Solution

The third proportional to 167,028 and 258,678 is: 400,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,028 : 258,678 = 258,678 : x
  2. Step 2: Convert to fraction form
    167,028/258,678 = 258,678/x
  3. Step 3: Cross multiply
    167,028x = 258,678 × 258,678
  4. Step 4: Simplify right side
    167,028x = 66,914,307,684
  5. Step 5: Solve for x
    x = 66,914,307,684/167,028
  6. Step 6: Final answer
    x = 400,617.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.