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Finding the Third Proportional to 238,853 and 339,514

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Solution

The third proportional to 238,853 and 339,514 is: 482,597.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,853 : 339,514 = 339,514 : x
  2. Step 2: Convert to fraction form
    238,853/339,514 = 339,514/x
  3. Step 3: Cross multiply
    238,853x = 339,514 × 339,514
  4. Step 4: Simplify right side
    238,853x = 115,269,756,196
  5. Step 5: Solve for x
    x = 115,269,756,196/238,853
  6. Step 6: Final answer
    x = 482,597.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.