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Finding the Third Proportional to 112,443 and 240,825

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Solution

The third proportional to 112,443 and 240,825 is: 515,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,443 : 240,825 = 240,825 : x
  2. Step 2: Convert to fraction form
    112,443/240,825 = 240,825/x
  3. Step 3: Cross multiply
    112,443x = 240,825 × 240,825
  4. Step 4: Simplify right side
    112,443x = 57,996,680,625
  5. Step 5: Solve for x
    x = 57,996,680,625/112,443
  6. Step 6: Final answer
    x = 515,787.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.