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Finding the Third Proportional to 110,522 and 170,679

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Solution

The third proportional to 110,522 and 170,679 is: 263,579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,522 : 170,679 = 170,679 : x
  2. Step 2: Convert to fraction form
    110,522/170,679 = 170,679/x
  3. Step 3: Cross multiply
    110,522x = 170,679 × 170,679
  4. Step 4: Simplify right side
    110,522x = 29,131,321,041
  5. Step 5: Solve for x
    x = 29,131,321,041/110,522
  6. Step 6: Final answer
    x = 263,579.39

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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.