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Finding the Third Proportional to 104,448 and 246,516

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Solution

The third proportional to 104,448 and 246,516 is: 581,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,448 : 246,516 = 246,516 : x
  2. Step 2: Convert to fraction form
    104,448/246,516 = 246,516/x
  3. Step 3: Cross multiply
    104,448x = 246,516 × 246,516
  4. Step 4: Simplify right side
    104,448x = 60,770,138,256
  5. Step 5: Solve for x
    x = 60,770,138,256/104,448
  6. Step 6: Final answer
    x = 581,821.94

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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.