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Finding the Third Proportional to 196,256 and 418,640

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Solution

The third proportional to 196,256 and 418,640 is: 893,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,256 : 418,640 = 418,640 : x
  2. Step 2: Convert to fraction form
    196,256/418,640 = 418,640/x
  3. Step 3: Cross multiply
    196,256x = 418,640 × 418,640
  4. Step 4: Simplify right side
    196,256x = 175,259,449,600
  5. Step 5: Solve for x
    x = 175,259,449,600/196,256
  6. Step 6: Final answer
    x = 893,014.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.