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Finding the Third Proportional to 179,658 and 391,189.50

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Solution

The third proportional to 179,658 and 391,189.50 is: 851,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,658 : 391,189.50 = 391,189.50 : x
  2. Step 2: Convert to fraction form
    179,658/391,189.50 = 391,189.50/x
  3. Step 3: Cross multiply
    179,658x = 391,189.50 × 391,189.50
  4. Step 4: Simplify right side
    179,658x = 153,029,224,910.25
  5. Step 5: Solve for x
    x = 153,029,224,910.25/179,658
  6. Step 6: Final answer
    x = 851,780.74

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