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Finding the Third Proportional to 114,344 and 254,916

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Solution

The third proportional to 114,344 and 254,916 is: 568,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,344 : 254,916 = 254,916 : x
  2. Step 2: Convert to fraction form
    114,344/254,916 = 254,916/x
  3. Step 3: Cross multiply
    114,344x = 254,916 × 254,916
  4. Step 4: Simplify right side
    114,344x = 64,982,167,056
  5. Step 5: Solve for x
    x = 64,982,167,056/114,344
  6. Step 6: Final answer
    x = 568,304.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.