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Finding the Third Proportional to 201,021.75 and 310,979.25

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Solution

The third proportional to 201,021.75 and 310,979.25 is: 481,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,021.75 : 310,979.25 = 310,979.25 : x
  2. Step 2: Convert to fraction form
    201,021.75/310,979.25 = 310,979.25/x
  3. Step 3: Cross multiply
    201,021.75x = 310,979.25 × 310,979.25
  4. Step 4: Simplify right side
    201,021.75x = 96,708,093,930.56
  5. Step 5: Solve for x
    x = 96,708,093,930.56/201,021.75
  6. Step 6: Final answer
    x = 481,082.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.