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Finding the Third Proportional to 199,702 and 303,654

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Solution

The third proportional to 199,702 and 303,654 is: 461,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,702 : 303,654 = 303,654 : x
  2. Step 2: Convert to fraction form
    199,702/303,654 = 303,654/x
  3. Step 3: Cross multiply
    199,702x = 303,654 × 303,654
  4. Step 4: Simplify right side
    199,702x = 92,205,751,716
  5. Step 5: Solve for x
    x = 92,205,751,716/199,702
  6. Step 6: Final answer
    x = 461,716.72

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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.