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Finding the Third Proportional to 167,022 and 258,309

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Solution

The third proportional to 167,022 and 258,309 is: 399,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,022 : 258,309 = 258,309 : x
  2. Step 2: Convert to fraction form
    167,022/258,309 = 258,309/x
  3. Step 3: Cross multiply
    167,022x = 258,309 × 258,309
  4. Step 4: Simplify right side
    167,022x = 66,723,539,481
  5. Step 5: Solve for x
    x = 66,723,539,481/167,022
  6. Step 6: Final answer
    x = 399,489.53

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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.