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Finding the Third Proportional to 196,874 and 305,436

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Solution

The third proportional to 196,874 and 305,436 is: 473,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,874 : 305,436 = 305,436 : x
  2. Step 2: Convert to fraction form
    196,874/305,436 = 305,436/x
  3. Step 3: Cross multiply
    196,874x = 305,436 × 305,436
  4. Step 4: Simplify right side
    196,874x = 93,291,150,096
  5. Step 5: Solve for x
    x = 93,291,150,096/196,874
  6. Step 6: Final answer
    x = 473,862.22

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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.