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Finding the Third Proportional to 104,560 and 246,792

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Solution

The third proportional to 104,560 and 246,792 is: 582,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,560 : 246,792 = 246,792 : x
  2. Step 2: Convert to fraction form
    104,560/246,792 = 246,792/x
  3. Step 3: Cross multiply
    104,560x = 246,792 × 246,792
  4. Step 4: Simplify right side
    104,560x = 60,906,291,264
  5. Step 5: Solve for x
    x = 60,906,291,264/104,560
  6. Step 6: Final answer
    x = 582,500.87

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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.