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Finding the Third Proportional to 177,645.75 and 273,057.38

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Solution

The third proportional to 177,645.75 and 273,057.38 is: 419,713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,645.75 : 273,057.38 = 273,057.38 : x
  2. Step 2: Convert to fraction form
    177,645.75/273,057.38 = 273,057.38/x
  3. Step 3: Cross multiply
    177,645.75x = 273,057.38 × 273,057.38
  4. Step 4: Simplify right side
    177,645.75x = 74,560,330,041.89
  5. Step 5: Solve for x
    x = 74,560,330,041.89/177,645.75
  6. Step 6: Final answer
    x = 419,713.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.