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Finding the Third Proportional to 136,048 and 317,694

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Solution

The third proportional to 136,048 and 317,694 is: 741,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,048 : 317,694 = 317,694 : x
  2. Step 2: Convert to fraction form
    136,048/317,694 = 317,694/x
  3. Step 3: Cross multiply
    136,048x = 317,694 × 317,694
  4. Step 4: Simplify right side
    136,048x = 100,929,477,636
  5. Step 5: Solve for x
    x = 100,929,477,636/136,048
  6. Step 6: Final answer
    x = 741,866.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.