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Finding the Third Proportional to 180,943.88 and 397,578.38

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Solution

The third proportional to 180,943.88 and 397,578.38 is: 873,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,943.88 : 397,578.38 = 397,578.38 : x
  2. Step 2: Convert to fraction form
    180,943.88/397,578.38 = 397,578.38/x
  3. Step 3: Cross multiply
    180,943.88x = 397,578.38 × 397,578.38
  4. Step 4: Simplify right side
    180,943.88x = 158,068,564,267.64
  5. Step 5: Solve for x
    x = 158,068,564,267.64/180,943.88
  6. Step 6: Final answer
    x = 873,577.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.