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Finding the Third Proportional to 73,821 and 173,314.50

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Solution

The third proportional to 73,821 and 173,314.50 is: 406,902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,821 : 173,314.50 = 173,314.50 : x
  2. Step 2: Convert to fraction form
    73,821/173,314.50 = 173,314.50/x
  3. Step 3: Cross multiply
    73,821x = 173,314.50 × 173,314.50
  4. Step 4: Simplify right side
    73,821x = 30,037,915,910.25
  5. Step 5: Solve for x
    x = 30,037,915,910.25/73,821
  6. Step 6: Final answer
    x = 406,902.05

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.