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Finding the Third Proportional to 177,653.88 and 273,342.41

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Solution

The third proportional to 177,653.88 and 273,342.41 is: 420,571.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,653.88 : 273,342.41 = 273,342.41 : x
  2. Step 2: Convert to fraction form
    177,653.88/273,342.41 = 273,342.41/x
  3. Step 3: Cross multiply
    177,653.88x = 273,342.41 × 273,342.41
  4. Step 4: Simplify right side
    177,653.88x = 74,716,073,190.03
  5. Step 5: Solve for x
    x = 74,716,073,190.03/177,653.88
  6. Step 6: Final answer
    x = 420,571.01

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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.