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Finding the Third Proportional to 182,450 and 272,942

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Solution

The third proportional to 182,450 and 272,942 is: 408,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,450 : 272,942 = 272,942 : x
  2. Step 2: Convert to fraction form
    182,450/272,942 = 272,942/x
  3. Step 3: Cross multiply
    182,450x = 272,942 × 272,942
  4. Step 4: Simplify right side
    182,450x = 74,497,335,364
  5. Step 5: Solve for x
    x = 74,497,335,364/182,450
  6. Step 6: Final answer
    x = 408,316.44

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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.