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Finding the Third Proportional to 199,734 and 303,690

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Solution

The third proportional to 199,734 and 303,690 is: 461,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,734 : 303,690 = 303,690 : x
  2. Step 2: Convert to fraction form
    199,734/303,690 = 303,690/x
  3. Step 3: Cross multiply
    199,734x = 303,690 × 303,690
  4. Step 4: Simplify right side
    199,734x = 92,227,616,100
  5. Step 5: Solve for x
    x = 92,227,616,100/199,734
  6. Step 6: Final answer
    x = 461,752.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.