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Finding the Third Proportional to 196,841 and 305,378

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Solution

The third proportional to 196,841 and 305,378 is: 473,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,841 : 305,378 = 305,378 : x
  2. Step 2: Convert to fraction form
    196,841/305,378 = 305,378/x
  3. Step 3: Cross multiply
    196,841x = 305,378 × 305,378
  4. Step 4: Simplify right side
    196,841x = 93,255,722,884
  5. Step 5: Solve for x
    x = 93,255,722,884/196,841
  6. Step 6: Final answer
    x = 473,761.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.