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Finding the Third Proportional to 213,759.75 and 451,657.50

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Solution

The third proportional to 213,759.75 and 451,657.50 is: 954,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,759.75 : 451,657.50 = 451,657.50 : x
  2. Step 2: Convert to fraction form
    213,759.75/451,657.50 = 451,657.50/x
  3. Step 3: Cross multiply
    213,759.75x = 451,657.50 × 451,657.50
  4. Step 4: Simplify right side
    213,759.75x = 203,994,497,306.25
  5. Step 5: Solve for x
    x = 203,994,497,306.25/213,759.75
  6. Step 6: Final answer
    x = 954,316.69

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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.