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Finding the Third Proportional to 232,833 and 356,016

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Solution

The third proportional to 232,833 and 356,016 is: 544,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,833 : 356,016 = 356,016 : x
  2. Step 2: Convert to fraction form
    232,833/356,016 = 356,016/x
  3. Step 3: Cross multiply
    232,833x = 356,016 × 356,016
  4. Step 4: Simplify right side
    232,833x = 126,747,392,256
  5. Step 5: Solve for x
    x = 126,747,392,256/232,833
  6. Step 6: Final answer
    x = 544,370.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.