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Finding the Third Proportional to 246,087 and 351,903

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Solution

The third proportional to 246,087 and 351,903 is: 503,219.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,087 : 351,903 = 351,903 : x
  2. Step 2: Convert to fraction form
    246,087/351,903 = 351,903/x
  3. Step 3: Cross multiply
    246,087x = 351,903 × 351,903
  4. Step 4: Simplify right side
    246,087x = 123,835,721,409
  5. Step 5: Solve for x
    x = 123,835,721,409/246,087
  6. Step 6: Final answer
    x = 503,219.27

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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.