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Finding the Third Proportional to 177,655.22 and 273,344.44

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Solution

The third proportional to 177,655.22 and 273,344.44 is: 420,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,655.22 : 273,344.44 = 273,344.44 : x
  2. Step 2: Convert to fraction form
    177,655.22/273,344.44 = 273,344.44/x
  3. Step 3: Cross multiply
    177,655.22x = 273,344.44 × 273,344.44
  4. Step 4: Simplify right side
    177,655.22x = 74,717,181,512.19
  5. Step 5: Solve for x
    x = 74,717,181,512.19/177,655.22
  6. Step 6: Final answer
    x = 420,574.09

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