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Finding the Third Proportional to 128,214.84 and 275,121.56

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Solution

The third proportional to 128,214.84 and 275,121.56 is: 590,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,214.84 : 275,121.56 = 275,121.56 : x
  2. Step 2: Convert to fraction form
    128,214.84/275,121.56 = 275,121.56/x
  3. Step 3: Cross multiply
    128,214.84x = 275,121.56 × 275,121.56
  4. Step 4: Simplify right side
    128,214.84x = 75,691,874,152.44
  5. Step 5: Solve for x
    x = 75,691,874,152.44/128,214.84
  6. Step 6: Final answer
    x = 590,351.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.