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Finding the Third Proportional to 94,256 and 198,208

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Solution

The third proportional to 94,256 and 198,208 is: 416,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,256 : 198,208 = 198,208 : x
  2. Step 2: Convert to fraction form
    94,256/198,208 = 198,208/x
  3. Step 3: Cross multiply
    94,256x = 198,208 × 198,208
  4. Step 4: Simplify right side
    94,256x = 39,286,411,264
  5. Step 5: Solve for x
    x = 39,286,411,264/94,256
  6. Step 6: Final answer
    x = 416,805.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.