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Finding the Third Proportional to 246,361 and 343,243

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Solution

The third proportional to 246,361 and 343,243 is: 478,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,361 : 343,243 = 343,243 : x
  2. Step 2: Convert to fraction form
    246,361/343,243 = 343,243/x
  3. Step 3: Cross multiply
    246,361x = 343,243 × 343,243
  4. Step 4: Simplify right side
    246,361x = 117,815,757,049
  5. Step 5: Solve for x
    x = 117,815,757,049/246,361
  6. Step 6: Final answer
    x = 478,224.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.