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Finding the Third Proportional to 117,647 and 277,682

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Solution

The third proportional to 117,647 and 277,682 is: 655,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,647 : 277,682 = 277,682 : x
  2. Step 2: Convert to fraction form
    117,647/277,682 = 277,682/x
  3. Step 3: Cross multiply
    117,647x = 277,682 × 277,682
  4. Step 4: Simplify right side
    117,647x = 77,107,293,124
  5. Step 5: Solve for x
    x = 77,107,293,124/117,647
  6. Step 6: Final answer
    x = 655,412.32

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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.