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Finding the Third Proportional to 174,150 and 268,029

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Solution

The third proportional to 174,150 and 268,029 is: 412,515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,150 : 268,029 = 268,029 : x
  2. Step 2: Convert to fraction form
    174,150/268,029 = 268,029/x
  3. Step 3: Cross multiply
    174,150x = 268,029 × 268,029
  4. Step 4: Simplify right side
    174,150x = 71,839,544,841
  5. Step 5: Solve for x
    x = 71,839,544,841/174,150
  6. Step 6: Final answer
    x = 412,515.33

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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.