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Finding the Third Proportional to 182,715.75 and 273,206.25

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Solution

The third proportional to 182,715.75 and 273,206.25 is: 408,512.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,715.75 : 273,206.25 = 273,206.25 : x
  2. Step 2: Convert to fraction form
    182,715.75/273,206.25 = 273,206.25/x
  3. Step 3: Cross multiply
    182,715.75x = 273,206.25 × 273,206.25
  4. Step 4: Simplify right side
    182,715.75x = 74,641,655,039.06
  5. Step 5: Solve for x
    x = 74,641,655,039.06/182,715.75
  6. Step 6: Final answer
    x = 408,512.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.