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Finding the Third Proportional to 174,087 and 276,682

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Solution

The third proportional to 174,087 and 276,682 is: 439,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,087 : 276,682 = 276,682 : x
  2. Step 2: Convert to fraction form
    174,087/276,682 = 276,682/x
  3. Step 3: Cross multiply
    174,087x = 276,682 × 276,682
  4. Step 4: Simplify right side
    174,087x = 76,552,929,124
  5. Step 5: Solve for x
    x = 76,552,929,124/174,087
  6. Step 6: Final answer
    x = 439,739.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.