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Finding the Third Proportional to 182,686.50 and 273,285

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Solution

The third proportional to 182,686.50 and 273,285 is: 408,813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,686.50 : 273,285 = 273,285 : x
  2. Step 2: Convert to fraction form
    182,686.50/273,285 = 273,285/x
  3. Step 3: Cross multiply
    182,686.50x = 273,285 × 273,285
  4. Step 4: Simplify right side
    182,686.50x = 74,684,691,225
  5. Step 5: Solve for x
    x = 74,684,691,225/182,686.50
  6. Step 6: Final answer
    x = 408,813.41

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Why These Related Problems?

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