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Finding the Third Proportional to 179,964 and 387,171

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Solution

The third proportional to 179,964 and 387,171 is: 832,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,964 : 387,171 = 387,171 : x
  2. Step 2: Convert to fraction form
    179,964/387,171 = 387,171/x
  3. Step 3: Cross multiply
    179,964x = 387,171 × 387,171
  4. Step 4: Simplify right side
    179,964x = 149,901,383,241
  5. Step 5: Solve for x
    x = 149,901,383,241/179,964
  6. Step 6: Final answer
    x = 832,952.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.