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Finding the Third Proportional to 230,042 and 337,327

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Solution

The third proportional to 230,042 and 337,327 is: 494,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,042 : 337,327 = 337,327 : x
  2. Step 2: Convert to fraction form
    230,042/337,327 = 337,327/x
  3. Step 3: Cross multiply
    230,042x = 337,327 × 337,327
  4. Step 4: Simplify right side
    230,042x = 113,789,504,929
  5. Step 5: Solve for x
    x = 113,789,504,929/230,042
  6. Step 6: Final answer
    x = 494,646.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.