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Finding the Third Proportional to 104,670 and 246,843

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Solution

The third proportional to 104,670 and 246,843 is: 582,129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,670 : 246,843 = 246,843 : x
  2. Step 2: Convert to fraction form
    104,670/246,843 = 246,843/x
  3. Step 3: Cross multiply
    104,670x = 246,843 × 246,843
  4. Step 4: Simplify right side
    104,670x = 60,931,466,649
  5. Step 5: Solve for x
    x = 60,931,466,649/104,670
  6. Step 6: Final answer
    x = 582,129.23

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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.