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Finding the Third Proportional to 179,165 and 258,991

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Solution

The third proportional to 179,165 and 258,991 is: 374,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,165 : 258,991 = 258,991 : x
  2. Step 2: Convert to fraction form
    179,165/258,991 = 258,991/x
  3. Step 3: Cross multiply
    179,165x = 258,991 × 258,991
  4. Step 4: Simplify right side
    179,165x = 67,076,338,081
  5. Step 5: Solve for x
    x = 67,076,338,081/179,165
  6. Step 6: Final answer
    x = 374,383.04

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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.