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Finding the Third Proportional to 104,564 and 246,802

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Solution

The third proportional to 104,564 and 246,802 is: 582,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,564 : 246,802 = 246,802 : x
  2. Step 2: Convert to fraction form
    104,564/246,802 = 246,802/x
  3. Step 3: Cross multiply
    104,564x = 246,802 × 246,802
  4. Step 4: Simplify right side
    104,564x = 60,911,227,204
  5. Step 5: Solve for x
    x = 60,911,227,204/104,564
  6. Step 6: Final answer
    x = 582,525.79

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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.