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Finding the Third Proportional to 165,469.88 and 361,284.75

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Solution

The third proportional to 165,469.88 and 361,284.75 is: 788,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,469.88 : 361,284.75 = 361,284.75 : x
  2. Step 2: Convert to fraction form
    165,469.88/361,284.75 = 361,284.75/x
  3. Step 3: Cross multiply
    165,469.88x = 361,284.75 × 361,284.75
  4. Step 4: Simplify right side
    165,469.88x = 130,526,670,582.56
  5. Step 5: Solve for x
    x = 130,526,670,582.56/165,469.88
  6. Step 6: Final answer
    x = 788,824.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.