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Finding the Third Proportional to 94,425 and 202,884

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Solution

The third proportional to 94,425 and 202,884 is: 435,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,425 : 202,884 = 202,884 : x
  2. Step 2: Convert to fraction form
    94,425/202,884 = 202,884/x
  3. Step 3: Cross multiply
    94,425x = 202,884 × 202,884
  4. Step 4: Simplify right side
    94,425x = 41,161,917,456
  5. Step 5: Solve for x
    x = 41,161,917,456/94,425
  6. Step 6: Final answer
    x = 435,921.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.