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Finding the Third Proportional to 175,629.75 and 380,786.25

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Solution

The third proportional to 175,629.75 and 380,786.25 is: 825,590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,629.75 : 380,786.25 = 380,786.25 : x
  2. Step 2: Convert to fraction form
    175,629.75/380,786.25 = 380,786.25/x
  3. Step 3: Cross multiply
    175,629.75x = 380,786.25 × 380,786.25
  4. Step 4: Simplify right side
    175,629.75x = 144,998,168,189.06
  5. Step 5: Solve for x
    x = 144,998,168,189.06/175,629.75
  6. Step 6: Final answer
    x = 825,590.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.