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Finding the Third Proportional to 182,894 and 274,339

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Solution

The third proportional to 182,894 and 274,339 is: 411,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,894 : 274,339 = 274,339 : x
  2. Step 2: Convert to fraction form
    182,894/274,339 = 274,339/x
  3. Step 3: Cross multiply
    182,894x = 274,339 × 274,339
  4. Step 4: Simplify right side
    182,894x = 75,261,886,921
  5. Step 5: Solve for x
    x = 75,261,886,921/182,894
  6. Step 6: Final answer
    x = 411,505.50

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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.