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Finding the Third Proportional to 193,743 and 424,863

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Solution

The third proportional to 193,743 and 424,863 is: 931,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,743 : 424,863 = 424,863 : x
  2. Step 2: Convert to fraction form
    193,743/424,863 = 424,863/x
  3. Step 3: Cross multiply
    193,743x = 424,863 × 424,863
  4. Step 4: Simplify right side
    193,743x = 180,508,568,769
  5. Step 5: Solve for x
    x = 180,508,568,769/193,743
  6. Step 6: Final answer
    x = 931,690.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.