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Finding the Third Proportional to 246,082 and 351,897

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Solution

The third proportional to 246,082 and 351,897 is: 503,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,082 : 351,897 = 351,897 : x
  2. Step 2: Convert to fraction form
    246,082/351,897 = 351,897/x
  3. Step 3: Cross multiply
    246,082x = 351,897 × 351,897
  4. Step 4: Simplify right side
    246,082x = 123,831,498,609
  5. Step 5: Solve for x
    x = 123,831,498,609/246,082
  6. Step 6: Final answer
    x = 503,212.34

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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.