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Finding the Third Proportional to 232,257 and 339,423

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Solution

The third proportional to 232,257 and 339,423 is: 496,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,257 : 339,423 = 339,423 : x
  2. Step 2: Convert to fraction form
    232,257/339,423 = 339,423/x
  3. Step 3: Cross multiply
    232,257x = 339,423 × 339,423
  4. Step 4: Simplify right side
    232,257x = 115,207,972,929
  5. Step 5: Solve for x
    x = 115,207,972,929/232,257
  6. Step 6: Final answer
    x = 496,036.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.