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Finding the Third Proportional to 246,059 and 323,094

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Solution

The third proportional to 246,059 and 323,094 is: 424,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,059 : 323,094 = 323,094 : x
  2. Step 2: Convert to fraction form
    246,059/323,094 = 323,094/x
  3. Step 3: Cross multiply
    246,059x = 323,094 × 323,094
  4. Step 4: Simplify right side
    246,059x = 104,389,732,836
  5. Step 5: Solve for x
    x = 104,389,732,836/246,059
  6. Step 6: Final answer
    x = 424,246.76

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.