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Finding the Third Proportional to 182,910 and 274,852

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Solution

The third proportional to 182,910 and 274,852 is: 413,009.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,910 : 274,852 = 274,852 : x
  2. Step 2: Convert to fraction form
    182,910/274,852 = 274,852/x
  3. Step 3: Cross multiply
    182,910x = 274,852 × 274,852
  4. Step 4: Simplify right side
    182,910x = 75,543,621,904
  5. Step 5: Solve for x
    x = 75,543,621,904/182,910
  6. Step 6: Final answer
    x = 413,009.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.