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Finding the Third Proportional to 179,955 and 386,093.25

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Solution

The third proportional to 179,955 and 386,093.25 is: 828,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,955 : 386,093.25 = 386,093.25 : x
  2. Step 2: Convert to fraction form
    179,955/386,093.25 = 386,093.25/x
  3. Step 3: Cross multiply
    179,955x = 386,093.25 × 386,093.25
  4. Step 4: Simplify right side
    179,955x = 149,067,997,695.56
  5. Step 5: Solve for x
    x = 149,067,997,695.56/179,955
  6. Step 6: Final answer
    x = 828,362.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.