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Finding the Third Proportional to 112,288 and 246,704

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Solution

The third proportional to 112,288 and 246,704 is: 542,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,288 : 246,704 = 246,704 : x
  2. Step 2: Convert to fraction form
    112,288/246,704 = 246,704/x
  3. Step 3: Cross multiply
    112,288x = 246,704 × 246,704
  4. Step 4: Simplify right side
    112,288x = 60,862,863,616
  5. Step 5: Solve for x
    x = 60,862,863,616/112,288
  6. Step 6: Final answer
    x = 542,024.65

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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.