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Finding the Third Proportional to 182,403 and 274,188

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Solution

The third proportional to 182,403 and 274,188 is: 412,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,403 : 274,188 = 274,188 : x
  2. Step 2: Convert to fraction form
    182,403/274,188 = 274,188/x
  3. Step 3: Cross multiply
    182,403x = 274,188 × 274,188
  4. Step 4: Simplify right side
    182,403x = 75,179,059,344
  5. Step 5: Solve for x
    x = 75,179,059,344/182,403
  6. Step 6: Final answer
    x = 412,159.12

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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.