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Finding the Third Proportional to 225,833 and 330,269

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Solution

The third proportional to 225,833 and 330,269 is: 483,001.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,833 : 330,269 = 330,269 : x
  2. Step 2: Convert to fraction form
    225,833/330,269 = 330,269/x
  3. Step 3: Cross multiply
    225,833x = 330,269 × 330,269
  4. Step 4: Simplify right side
    225,833x = 109,077,612,361
  5. Step 5: Solve for x
    x = 109,077,612,361/225,833
  6. Step 6: Final answer
    x = 483,001.21

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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.