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Finding the Third Proportional to 201,912.75 and 313,520.63

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Solution

The third proportional to 201,912.75 and 313,520.63 is: 486,820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,912.75 : 313,520.63 = 313,520.63 : x
  2. Step 2: Convert to fraction form
    201,912.75/313,520.63 = 313,520.63/x
  3. Step 3: Cross multiply
    201,912.75x = 313,520.63 × 313,520.63
  4. Step 4: Simplify right side
    201,912.75x = 98,295,182,300.39
  5. Step 5: Solve for x
    x = 98,295,182,300.39/201,912.75
  6. Step 6: Final answer
    x = 486,820.09

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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.