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Finding the Third Proportional to 167,016 and 258,639

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Solution

The third proportional to 167,016 and 258,639 is: 400,525.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,016 : 258,639 = 258,639 : x
  2. Step 2: Convert to fraction form
    167,016/258,639 = 258,639/x
  3. Step 3: Cross multiply
    167,016x = 258,639 × 258,639
  4. Step 4: Simplify right side
    167,016x = 66,894,132,321
  5. Step 5: Solve for x
    x = 66,894,132,321/167,016
  6. Step 6: Final answer
    x = 400,525.29

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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.