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Finding the Third Proportional to 246,097 and 351,912

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Solution

The third proportional to 246,097 and 351,912 is: 503,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,097 : 351,912 = 351,912 : x
  2. Step 2: Convert to fraction form
    246,097/351,912 = 351,912/x
  3. Step 3: Cross multiply
    246,097x = 351,912 × 351,912
  4. Step 4: Simplify right side
    246,097x = 123,842,055,744
  5. Step 5: Solve for x
    x = 123,842,055,744/246,097
  6. Step 6: Final answer
    x = 503,224.56

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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.