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Finding the Third Proportional to 209,182.50 and 451,899

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Solution

The third proportional to 209,182.50 and 451,899 is: 976,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,182.50 : 451,899 = 451,899 : x
  2. Step 2: Convert to fraction form
    209,182.50/451,899 = 451,899/x
  3. Step 3: Cross multiply
    209,182.50x = 451,899 × 451,899
  4. Step 4: Simplify right side
    209,182.50x = 204,212,706,201
  5. Step 5: Solve for x
    x = 204,212,706,201/209,182.50
  6. Step 6: Final answer
    x = 976,241.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.