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Finding the Third Proportional to 180,276.75 and 275,181.75

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Solution

The third proportional to 180,276.75 and 275,181.75 is: 420,048.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,276.75 : 275,181.75 = 275,181.75 : x
  2. Step 2: Convert to fraction form
    180,276.75/275,181.75 = 275,181.75/x
  3. Step 3: Cross multiply
    180,276.75x = 275,181.75 × 275,181.75
  4. Step 4: Simplify right side
    180,276.75x = 75,724,995,533.06
  5. Step 5: Solve for x
    x = 75,724,995,533.06/180,276.75
  6. Step 6: Final answer
    x = 420,048.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.