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Finding the Third Proportional to 177,236.44 and 272,424.94

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Solution

The third proportional to 177,236.44 and 272,424.94 is: 418,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,236.44 : 272,424.94 = 272,424.94 : x
  2. Step 2: Convert to fraction form
    177,236.44/272,424.94 = 272,424.94/x
  3. Step 3: Cross multiply
    177,236.44x = 272,424.94 × 272,424.94
  4. Step 4: Simplify right side
    177,236.44x = 74,215,346,571.88
  5. Step 5: Solve for x
    x = 74,215,346,571.88/177,236.44
  6. Step 6: Final answer
    x = 418,736.39

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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.