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Finding the Third Proportional to 117,614 and 277,601

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Solution

The third proportional to 117,614 and 277,601 is: 655,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,614 : 277,601 = 277,601 : x
  2. Step 2: Convert to fraction form
    117,614/277,601 = 277,601/x
  3. Step 3: Cross multiply
    117,614x = 277,601 × 277,601
  4. Step 4: Simplify right side
    117,614x = 77,062,315,201
  5. Step 5: Solve for x
    x = 77,062,315,201/117,614
  6. Step 6: Final answer
    x = 655,213.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.