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Finding the Third Proportional to 180,155.25 and 417,015.75

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Solution

The third proportional to 180,155.25 and 417,015.75 is: 965,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,155.25 : 417,015.75 = 417,015.75 : x
  2. Step 2: Convert to fraction form
    180,155.25/417,015.75 = 417,015.75/x
  3. Step 3: Cross multiply
    180,155.25x = 417,015.75 × 417,015.75
  4. Step 4: Simplify right side
    180,155.25x = 173,902,135,748.06
  5. Step 5: Solve for x
    x = 173,902,135,748.06/180,155.25
  6. Step 6: Final answer
    x = 965,290.41

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.