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Finding the Third Proportional to 183,469 and 274,348

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Solution

The third proportional to 183,469 and 274,348 is: 410,242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,469 : 274,348 = 274,348 : x
  2. Step 2: Convert to fraction form
    183,469/274,348 = 274,348/x
  3. Step 3: Cross multiply
    183,469x = 274,348 × 274,348
  4. Step 4: Simplify right side
    183,469x = 75,266,825,104
  5. Step 5: Solve for x
    x = 75,266,825,104/183,469
  6. Step 6: Final answer
    x = 410,242.74

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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.