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Finding the Third Proportional to 274,104 and 411,156

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Solution

The third proportional to 274,104 and 411,156 is: 616,734

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,104 : 411,156 = 411,156 : x
  2. Step 2: Convert to fraction form
    274,104/411,156 = 411,156/x
  3. Step 3: Cross multiply
    274,104x = 411,156 × 411,156
  4. Step 4: Simplify right side
    274,104x = 169,049,256,336
  5. Step 5: Solve for x
    x = 169,049,256,336/274,104
  6. Step 6: Final answer
    x = 616,734

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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.