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Finding the Third Proportional to 179,645.34 and 394,282.69

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Solution

The third proportional to 179,645.34 and 394,282.69 is: 865,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,645.34 : 394,282.69 = 394,282.69 : x
  2. Step 2: Convert to fraction form
    179,645.34/394,282.69 = 394,282.69/x
  3. Step 3: Cross multiply
    179,645.34x = 394,282.69 × 394,282.69
  4. Step 4: Simplify right side
    179,645.34x = 155,458,837,662.22
  5. Step 5: Solve for x
    x = 155,458,837,662.22/179,645.34
  6. Step 6: Final answer
    x = 865,365.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.