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Finding the Third Proportional to 232,880 and 356,110

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Solution

The third proportional to 232,880 and 356,110 is: 544,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,880 : 356,110 = 356,110 : x
  2. Step 2: Convert to fraction form
    232,880/356,110 = 356,110/x
  3. Step 3: Cross multiply
    232,880x = 356,110 × 356,110
  4. Step 4: Simplify right side
    232,880x = 126,814,332,100
  5. Step 5: Solve for x
    x = 126,814,332,100/232,880
  6. Step 6: Final answer
    x = 544,547.97

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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.