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Finding the Third Proportional to 128,580.75 and 203,769.84

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Solution

The third proportional to 128,580.75 and 203,769.84 is: 322,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,580.75 : 203,769.84 = 203,769.84 : x
  2. Step 2: Convert to fraction form
    128,580.75/203,769.84 = 203,769.84/x
  3. Step 3: Cross multiply
    128,580.75x = 203,769.84 × 203,769.84
  4. Step 4: Simplify right side
    128,580.75x = 41,522,149,221.90
  5. Step 5: Solve for x
    x = 41,522,149,221.90/128,580.75
  6. Step 6: Final answer
    x = 322,926.64

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.