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Finding the Third Proportional to 246,493 and 352,243

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Solution

The third proportional to 246,493 and 352,243 is: 503,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,493 : 352,243 = 352,243 : x
  2. Step 2: Convert to fraction form
    246,493/352,243 = 352,243/x
  3. Step 3: Cross multiply
    246,493x = 352,243 × 352,243
  4. Step 4: Simplify right side
    246,493x = 124,075,131,049
  5. Step 5: Solve for x
    x = 124,075,131,049/246,493
  6. Step 6: Final answer
    x = 503,361.68

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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.