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Finding the Third Proportional to 116,450 and 246,748

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Solution

The third proportional to 116,450 and 246,748 is: 522,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,450 : 246,748 = 246,748 : x
  2. Step 2: Convert to fraction form
    116,450/246,748 = 246,748/x
  3. Step 3: Cross multiply
    116,450x = 246,748 × 246,748
  4. Step 4: Simplify right side
    116,450x = 60,884,575,504
  5. Step 5: Solve for x
    x = 60,884,575,504/116,450
  6. Step 6: Final answer
    x = 522,838.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.