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Finding the Third Proportional to 226,273 and 335,494

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Solution

The third proportional to 226,273 and 335,494 is: 497,435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,273 : 335,494 = 335,494 : x
  2. Step 2: Convert to fraction form
    226,273/335,494 = 335,494/x
  3. Step 3: Cross multiply
    226,273x = 335,494 × 335,494
  4. Step 4: Simplify right side
    226,273x = 112,556,224,036
  5. Step 5: Solve for x
    x = 112,556,224,036/226,273
  6. Step 6: Final answer
    x = 497,435.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.