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Finding the Third Proportional to 180,012 and 284,676

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Solution

The third proportional to 180,012 and 284,676 is: 450,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,012 : 284,676 = 284,676 : x
  2. Step 2: Convert to fraction form
    180,012/284,676 = 284,676/x
  3. Step 3: Cross multiply
    180,012x = 284,676 × 284,676
  4. Step 4: Simplify right side
    180,012x = 81,040,424,976
  5. Step 5: Solve for x
    x = 81,040,424,976/180,012
  6. Step 6: Final answer
    x = 450,194.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.