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Finding the Third Proportional to 182,862 and 274,293

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Solution

The third proportional to 182,862 and 274,293 is: 411,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,862 : 274,293 = 274,293 : x
  2. Step 2: Convert to fraction form
    182,862/274,293 = 274,293/x
  3. Step 3: Cross multiply
    182,862x = 274,293 × 274,293
  4. Step 4: Simplify right side
    182,862x = 75,236,649,849
  5. Step 5: Solve for x
    x = 75,236,649,849/182,862
  6. Step 6: Final answer
    x = 411,439.50

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Why These Related Problems?

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