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Finding the Third Proportional to 167,412 and 258,498

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Solution

The third proportional to 167,412 and 258,498 is: 399,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,412 : 258,498 = 258,498 : x
  2. Step 2: Convert to fraction form
    167,412/258,498 = 258,498/x
  3. Step 3: Cross multiply
    167,412x = 258,498 × 258,498
  4. Step 4: Simplify right side
    167,412x = 66,821,216,004
  5. Step 5: Solve for x
    x = 66,821,216,004/167,412
  6. Step 6: Final answer
    x = 399,142.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.