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Finding the Third Proportional to 181,935 and 276,575

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Solution

The third proportional to 181,935 and 276,575 is: 420,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,935 : 276,575 = 276,575 : x
  2. Step 2: Convert to fraction form
    181,935/276,575 = 276,575/x
  3. Step 3: Cross multiply
    181,935x = 276,575 × 276,575
  4. Step 4: Simplify right side
    181,935x = 76,493,730,625
  5. Step 5: Solve for x
    x = 76,493,730,625/181,935
  6. Step 6: Final answer
    x = 420,445.38

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