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Finding the Third Proportional to 182,885 and 274,328

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Solution

The third proportional to 182,885 and 274,328 is: 411,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,885 : 274,328 = 274,328 : x
  2. Step 2: Convert to fraction form
    182,885/274,328 = 274,328/x
  3. Step 3: Cross multiply
    182,885x = 274,328 × 274,328
  4. Step 4: Simplify right side
    182,885x = 75,255,851,584
  5. Step 5: Solve for x
    x = 75,255,851,584/182,885
  6. Step 6: Final answer
    x = 411,492.75

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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.