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Finding the Third Proportional to 112,000.50 and 241,812

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Solution

The third proportional to 112,000.50 and 241,812 is: 522,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,000.50 : 241,812 = 241,812 : x
  2. Step 2: Convert to fraction form
    112,000.50/241,812 = 241,812/x
  3. Step 3: Cross multiply
    112,000.50x = 241,812 × 241,812
  4. Step 4: Simplify right side
    112,000.50x = 58,473,043,344
  5. Step 5: Solve for x
    x = 58,473,043,344/112,000.50
  6. Step 6: Final answer
    x = 522,078.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.