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Finding the Third Proportional to 232,766 and 353,469

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Solution

The third proportional to 232,766 and 353,469 is: 536,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,766 : 353,469 = 353,469 : x
  2. Step 2: Convert to fraction form
    232,766/353,469 = 353,469/x
  3. Step 3: Cross multiply
    232,766x = 353,469 × 353,469
  4. Step 4: Simplify right side
    232,766x = 124,940,333,961
  5. Step 5: Solve for x
    x = 124,940,333,961/232,766
  6. Step 6: Final answer
    x = 536,763.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.