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Finding the Third Proportional to 165,984.19 and 252,028.97

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Solution

The third proportional to 165,984.19 and 252,028.97 is: 382,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,984.19 : 252,028.97 = 252,028.97 : x
  2. Step 2: Convert to fraction form
    165,984.19/252,028.97 = 252,028.97/x
  3. Step 3: Cross multiply
    165,984.19x = 252,028.97 × 252,028.97
  4. Step 4: Simplify right side
    165,984.19x = 63,518,601,089.19
  5. Step 5: Solve for x
    x = 63,518,601,089.19/165,984.19
  6. Step 6: Final answer
    x = 382,678.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.