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Finding the Third Proportional to 204,265.50 and 315,013.50

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Solution

The third proportional to 204,265.50 and 315,013.50 is: 485,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,265.50 : 315,013.50 = 315,013.50 : x
  2. Step 2: Convert to fraction form
    204,265.50/315,013.50 = 315,013.50/x
  3. Step 3: Cross multiply
    204,265.50x = 315,013.50 × 315,013.50
  4. Step 4: Simplify right side
    204,265.50x = 99,233,505,182.25
  5. Step 5: Solve for x
    x = 99,233,505,182.25/204,265.50
  6. Step 6: Final answer
    x = 485,806.49

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