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Finding the Third Proportional to 180,124 and 416,992

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Solution

The third proportional to 180,124 and 416,992 is: 965,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,124 : 416,992 = 416,992 : x
  2. Step 2: Convert to fraction form
    180,124/416,992 = 416,992/x
  3. Step 3: Cross multiply
    180,124x = 416,992 × 416,992
  4. Step 4: Simplify right side
    180,124x = 173,882,328,064
  5. Step 5: Solve for x
    x = 173,882,328,064/180,124
  6. Step 6: Final answer
    x = 965,347.92

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.