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Finding the Third Proportional to 110,234.25 and 170,322.75

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Solution

The third proportional to 110,234.25 and 170,322.75 is: 263,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,234.25 : 170,322.75 = 170,322.75 : x
  2. Step 2: Convert to fraction form
    110,234.25/170,322.75 = 170,322.75/x
  3. Step 3: Cross multiply
    110,234.25x = 170,322.75 × 170,322.75
  4. Step 4: Simplify right side
    110,234.25x = 29,009,839,167.56
  5. Step 5: Solve for x
    x = 29,009,839,167.56/110,234.25
  6. Step 6: Final answer
    x = 263,165.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.