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Finding the Third Proportional to 114,834 and 243,324

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Solution

The third proportional to 114,834 and 243,324 is: 515,583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,834 : 243,324 = 243,324 : x
  2. Step 2: Convert to fraction form
    114,834/243,324 = 243,324/x
  3. Step 3: Cross multiply
    114,834x = 243,324 × 243,324
  4. Step 4: Simplify right side
    114,834x = 59,206,568,976
  5. Step 5: Solve for x
    x = 59,206,568,976/114,834
  6. Step 6: Final answer
    x = 515,583.96

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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.