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Finding the Third Proportional to 93,340 and 204,825

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Solution

The third proportional to 93,340 and 204,825 is: 449,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,340 : 204,825 = 204,825 : x
  2. Step 2: Convert to fraction form
    93,340/204,825 = 204,825/x
  3. Step 3: Cross multiply
    93,340x = 204,825 × 204,825
  4. Step 4: Simplify right side
    93,340x = 41,953,280,625
  5. Step 5: Solve for x
    x = 41,953,280,625/93,340
  6. Step 6: Final answer
    x = 449,467.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.