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Finding the Third Proportional to 218,166.75 and 456,198.75

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Solution

The third proportional to 218,166.75 and 456,198.75 is: 953,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,166.75 : 456,198.75 = 456,198.75 : x
  2. Step 2: Convert to fraction form
    218,166.75/456,198.75 = 456,198.75/x
  3. Step 3: Cross multiply
    218,166.75x = 456,198.75 × 456,198.75
  4. Step 4: Simplify right side
    218,166.75x = 208,117,299,501.56
  5. Step 5: Solve for x
    x = 208,117,299,501.56/218,166.75
  6. Step 6: Final answer
    x = 953,936.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.