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Finding the Third Proportional to 201,769.50 and 325,104.75

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Solution

The third proportional to 201,769.50 and 325,104.75 is: 523,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,769.50 : 325,104.75 = 325,104.75 : x
  2. Step 2: Convert to fraction form
    201,769.50/325,104.75 = 325,104.75/x
  3. Step 3: Cross multiply
    201,769.50x = 325,104.75 × 325,104.75
  4. Step 4: Simplify right side
    201,769.50x = 105,693,098,472.56
  5. Step 5: Solve for x
    x = 105,693,098,472.56/201,769.50
  6. Step 6: Final answer
    x = 523,830.90

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.