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Finding the Third Proportional to 114,450 and 246,564

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Solution

The third proportional to 114,450 and 246,564 is: 531,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,450 : 246,564 = 246,564 : x
  2. Step 2: Convert to fraction form
    114,450/246,564 = 246,564/x
  3. Step 3: Cross multiply
    114,450x = 246,564 × 246,564
  4. Step 4: Simplify right side
    114,450x = 60,793,806,096
  5. Step 5: Solve for x
    x = 60,793,806,096/114,450
  6. Step 6: Final answer
    x = 531,182.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.