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Finding the Third Proportional to 195,690 and 424,839

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Solution

The third proportional to 195,690 and 424,839 is: 922,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,690 : 424,839 = 424,839 : x
  2. Step 2: Convert to fraction form
    195,690/424,839 = 424,839/x
  3. Step 3: Cross multiply
    195,690x = 424,839 × 424,839
  4. Step 4: Simplify right side
    195,690x = 180,488,175,921
  5. Step 5: Solve for x
    x = 180,488,175,921/195,690
  6. Step 6: Final answer
    x = 922,316.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.