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Finding the Third Proportional to 213,805.50 and 451,749

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Solution

The third proportional to 213,805.50 and 451,749 is: 954,499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,805.50 : 451,749 = 451,749 : x
  2. Step 2: Convert to fraction form
    213,805.50/451,749 = 451,749/x
  3. Step 3: Cross multiply
    213,805.50x = 451,749 × 451,749
  4. Step 4: Simplify right side
    213,805.50x = 204,077,159,001
  5. Step 5: Solve for x
    x = 204,077,159,001/213,805.50
  6. Step 6: Final answer
    x = 954,499.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.