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Finding the Third Proportional to 110,880 and 170,694

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Solution

The third proportional to 110,880 and 170,694 is: 262,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,880 : 170,694 = 170,694 : x
  2. Step 2: Convert to fraction form
    110,880/170,694 = 170,694/x
  3. Step 3: Cross multiply
    110,880x = 170,694 × 170,694
  4. Step 4: Simplify right side
    110,880x = 29,136,441,636
  5. Step 5: Solve for x
    x = 29,136,441,636/110,880
  6. Step 6: Final answer
    x = 262,774.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.