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Finding the Third Proportional to 117,936 and 277,452

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Solution

The third proportional to 117,936 and 277,452 is: 652,723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,936 : 277,452 = 277,452 : x
  2. Step 2: Convert to fraction form
    117,936/277,452 = 277,452/x
  3. Step 3: Cross multiply
    117,936x = 277,452 × 277,452
  4. Step 4: Simplify right side
    117,936x = 76,979,612,304
  5. Step 5: Solve for x
    x = 76,979,612,304/117,936
  6. Step 6: Final answer
    x = 652,723.62

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.