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Finding the Third Proportional to 246,165 and 351,993

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Solution

The third proportional to 246,165 and 351,993 is: 503,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,165 : 351,993 = 351,993 : x
  2. Step 2: Convert to fraction form
    246,165/351,993 = 351,993/x
  3. Step 3: Cross multiply
    246,165x = 351,993 × 351,993
  4. Step 4: Simplify right side
    246,165x = 123,899,072,049
  5. Step 5: Solve for x
    x = 123,899,072,049/246,165
  6. Step 6: Final answer
    x = 503,317.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.