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Finding the Third Proportional to 113,406 and 246,516

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Solution

The third proportional to 113,406 and 246,516 is: 535,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,406 : 246,516 = 246,516 : x
  2. Step 2: Convert to fraction form
    113,406/246,516 = 246,516/x
  3. Step 3: Cross multiply
    113,406x = 246,516 × 246,516
  4. Step 4: Simplify right side
    113,406x = 60,770,138,256
  5. Step 5: Solve for x
    x = 60,770,138,256/113,406
  6. Step 6: Final answer
    x = 535,863.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.