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Finding the Third Proportional to 180,976 and 237,990

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Solution

The third proportional to 180,976 and 237,990 is: 312,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,976 : 237,990 = 237,990 : x
  2. Step 2: Convert to fraction form
    180,976/237,990 = 237,990/x
  3. Step 3: Cross multiply
    180,976x = 237,990 × 237,990
  4. Step 4: Simplify right side
    180,976x = 56,639,240,100
  5. Step 5: Solve for x
    x = 56,639,240,100/180,976
  6. Step 6: Final answer
    x = 312,965.48

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.