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Finding the Third Proportional to 202,560 and 445,824

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Solution

The third proportional to 202,560 and 445,824 is: 981,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,560 : 445,824 = 445,824 : x
  2. Step 2: Convert to fraction form
    202,560/445,824 = 445,824/x
  3. Step 3: Cross multiply
    202,560x = 445,824 × 445,824
  4. Step 4: Simplify right side
    202,560x = 198,759,038,976
  5. Step 5: Solve for x
    x = 198,759,038,976/202,560
  6. Step 6: Final answer
    x = 981,235.38

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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.