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Finding the Third Proportional to 180,072 and 416,880

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Solution

The third proportional to 180,072 and 416,880 is: 965,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,072 : 416,880 = 416,880 : x
  2. Step 2: Convert to fraction form
    180,072/416,880 = 416,880/x
  3. Step 3: Cross multiply
    180,072x = 416,880 × 416,880
  4. Step 4: Simplify right side
    180,072x = 173,788,934,400
  5. Step 5: Solve for x
    x = 173,788,934,400/180,072
  6. Step 6: Final answer
    x = 965,108.04

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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.