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Finding the Third Proportional to 112,221 and 246,582

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Solution

The third proportional to 112,221 and 246,582 is: 541,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,221 : 246,582 = 246,582 : x
  2. Step 2: Convert to fraction form
    112,221/246,582 = 246,582/x
  3. Step 3: Cross multiply
    112,221x = 246,582 × 246,582
  4. Step 4: Simplify right side
    112,221x = 60,802,682,724
  5. Step 5: Solve for x
    x = 60,802,682,724/112,221
  6. Step 6: Final answer
    x = 541,811.98

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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.