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Finding the Third Proportional to 175,993.88 and 360,189

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Solution

The third proportional to 175,993.88 and 360,189 is: 737,162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,993.88 : 360,189 = 360,189 : x
  2. Step 2: Convert to fraction form
    175,993.88/360,189 = 360,189/x
  3. Step 3: Cross multiply
    175,993.88x = 360,189 × 360,189
  4. Step 4: Simplify right side
    175,993.88x = 129,736,115,721
  5. Step 5: Solve for x
    x = 129,736,115,721/175,993.88
  6. Step 6: Final answer
    x = 737,162.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.