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Finding the Third Proportional to 182,675.25 and 273,270.38

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Solution

The third proportional to 182,675.25 and 273,270.38 is: 408,794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,675.25 : 273,270.38 = 273,270.38 : x
  2. Step 2: Convert to fraction form
    182,675.25/273,270.38 = 273,270.38/x
  3. Step 3: Cross multiply
    182,675.25x = 273,270.38 × 273,270.38
  4. Step 4: Simplify right side
    182,675.25x = 74,676,697,852.64
  5. Step 5: Solve for x
    x = 74,676,697,852.64/182,675.25
  6. Step 6: Final answer
    x = 408,794.83

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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.