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Finding the Third Proportional to 196,448 and 424,198

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Solution

The third proportional to 196,448 and 424,198 is: 915,987.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,448 : 424,198 = 424,198 : x
  2. Step 2: Convert to fraction form
    196,448/424,198 = 424,198/x
  3. Step 3: Cross multiply
    196,448x = 424,198 × 424,198
  4. Step 4: Simplify right side
    196,448x = 179,943,943,204
  5. Step 5: Solve for x
    x = 179,943,943,204/196,448
  6. Step 6: Final answer
    x = 915,987.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.