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Finding the Third Proportional to 112,824 and 241,200

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Solution

The third proportional to 112,824 and 241,200 is: 515,647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,824 : 241,200 = 241,200 : x
  2. Step 2: Convert to fraction form
    112,824/241,200 = 241,200/x
  3. Step 3: Cross multiply
    112,824x = 241,200 × 241,200
  4. Step 4: Simplify right side
    112,824x = 58,177,440,000
  5. Step 5: Solve for x
    x = 58,177,440,000/112,824
  6. Step 6: Final answer
    x = 515,647.73

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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.