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Finding the Third Proportional to 179,168 and 258,994

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Solution

The third proportional to 179,168 and 258,994 is: 374,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,168 : 258,994 = 258,994 : x
  2. Step 2: Convert to fraction form
    179,168/258,994 = 258,994/x
  3. Step 3: Cross multiply
    179,168x = 258,994 × 258,994
  4. Step 4: Simplify right side
    179,168x = 67,077,892,036
  5. Step 5: Solve for x
    x = 67,077,892,036/179,168
  6. Step 6: Final answer
    x = 374,385.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.