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Finding the Third Proportional to 105,884 and 232,756

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Solution

The third proportional to 105,884 and 232,756 is: 511,648.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,884 : 232,756 = 232,756 : x
  2. Step 2: Convert to fraction form
    105,884/232,756 = 232,756/x
  3. Step 3: Cross multiply
    105,884x = 232,756 × 232,756
  4. Step 4: Simplify right side
    105,884x = 54,175,355,536
  5. Step 5: Solve for x
    x = 54,175,355,536/105,884
  6. Step 6: Final answer
    x = 511,648.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.