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Finding the Third Proportional to 179,652 and 391,197

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Solution

The third proportional to 179,652 and 391,197 is: 851,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,652 : 391,197 = 391,197 : x
  2. Step 2: Convert to fraction form
    179,652/391,197 = 391,197/x
  3. Step 3: Cross multiply
    179,652x = 391,197 × 391,197
  4. Step 4: Simplify right side
    179,652x = 153,035,092,809
  5. Step 5: Solve for x
    x = 153,035,092,809/179,652
  6. Step 6: Final answer
    x = 851,841.85

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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.