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Finding the Third Proportional to 218,198.25 and 335,270.25

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Solution

The third proportional to 218,198.25 and 335,270.25 is: 515,156.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,198.25 : 335,270.25 = 335,270.25 : x
  2. Step 2: Convert to fraction form
    218,198.25/335,270.25 = 335,270.25/x
  3. Step 3: Cross multiply
    218,198.25x = 335,270.25 × 335,270.25
  4. Step 4: Simplify right side
    218,198.25x = 112,406,140,535.06
  5. Step 5: Solve for x
    x = 112,406,140,535.06/218,198.25
  6. Step 6: Final answer
    x = 515,156.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.