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Finding the Third Proportional to 179,507.25 and 272,991.38

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Solution

The third proportional to 179,507.25 and 272,991.38 is: 415,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,507.25 : 272,991.38 = 272,991.38 : x
  2. Step 2: Convert to fraction form
    179,507.25/272,991.38 = 272,991.38/x
  3. Step 3: Cross multiply
    179,507.25x = 272,991.38 × 272,991.38
  4. Step 4: Simplify right side
    179,507.25x = 74,524,290,824.39
  5. Step 5: Solve for x
    x = 74,524,290,824.39/179,507.25
  6. Step 6: Final answer
    x = 415,160.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.