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Finding the Third Proportional to 232,676 and 355,781

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Solution

The third proportional to 232,676 and 355,781 is: 544,018.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,676 : 355,781 = 355,781 : x
  2. Step 2: Convert to fraction form
    232,676/355,781 = 355,781/x
  3. Step 3: Cross multiply
    232,676x = 355,781 × 355,781
  4. Step 4: Simplify right side
    232,676x = 126,580,119,961
  5. Step 5: Solve for x
    x = 126,580,119,961/232,676
  6. Step 6: Final answer
    x = 544,018.81

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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.