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Finding the Third Proportional to 104,452 and 246,526

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Solution

The third proportional to 104,452 and 246,526 is: 581,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,452 : 246,526 = 246,526 : x
  2. Step 2: Convert to fraction form
    104,452/246,526 = 246,526/x
  3. Step 3: Cross multiply
    104,452x = 246,526 × 246,526
  4. Step 4: Simplify right side
    104,452x = 60,775,068,676
  5. Step 5: Solve for x
    x = 60,775,068,676/104,452
  6. Step 6: Final answer
    x = 581,846.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.