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Finding the Third Proportional to 167,004 and 258,621

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Solution

The third proportional to 167,004 and 258,621 is: 400,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,004 : 258,621 = 258,621 : x
  2. Step 2: Convert to fraction form
    167,004/258,621 = 258,621/x
  3. Step 3: Cross multiply
    167,004x = 258,621 × 258,621
  4. Step 4: Simplify right side
    167,004x = 66,884,821,641
  5. Step 5: Solve for x
    x = 66,884,821,641/167,004
  6. Step 6: Final answer
    x = 400,498.32

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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.