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Finding the Third Proportional to 105,918 and 232,825

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Solution

The third proportional to 105,918 and 232,825 is: 511,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,918 : 232,825 = 232,825 : x
  2. Step 2: Convert to fraction form
    105,918/232,825 = 232,825/x
  3. Step 3: Cross multiply
    105,918x = 232,825 × 232,825
  4. Step 4: Simplify right side
    105,918x = 54,207,480,625
  5. Step 5: Solve for x
    x = 54,207,480,625/105,918
  6. Step 6: Final answer
    x = 511,787.24

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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.