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Finding the Third Proportional to 179,633 and 391,167

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Solution

The third proportional to 179,633 and 391,167 is: 851,801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,633 : 391,167 = 391,167 : x
  2. Step 2: Convert to fraction form
    179,633/391,167 = 391,167/x
  3. Step 3: Cross multiply
    179,633x = 391,167 × 391,167
  4. Step 4: Simplify right side
    179,633x = 153,011,621,889
  5. Step 5: Solve for x
    x = 153,011,621,889/179,633
  6. Step 6: Final answer
    x = 851,801.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.