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Finding the Third Proportional to 179,153.75 and 258,980.25

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Solution

The third proportional to 179,153.75 and 258,980.25 is: 374,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,153.75 : 258,980.25 = 258,980.25 : x
  2. Step 2: Convert to fraction form
    179,153.75/258,980.25 = 258,980.25/x
  3. Step 3: Cross multiply
    179,153.75x = 258,980.25 × 258,980.25
  4. Step 4: Simplify right side
    179,153.75x = 67,070,769,890.06
  5. Step 5: Solve for x
    x = 67,070,769,890.06/179,153.75
  6. Step 6: Final answer
    x = 374,375.47

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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.