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Finding the Third Proportional to 182,341.13 and 276,027.75

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Solution

The third proportional to 182,341.13 and 276,027.75 is: 417,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,341.13 : 276,027.75 = 276,027.75 : x
  2. Step 2: Convert to fraction form
    182,341.13/276,027.75 = 276,027.75/x
  3. Step 3: Cross multiply
    182,341.13x = 276,027.75 × 276,027.75
  4. Step 4: Simplify right side
    182,341.13x = 76,191,318,770.06
  5. Step 5: Solve for x
    x = 76,191,318,770.06/182,341.13
  6. Step 6: Final answer
    x = 417,850.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.