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Finding the Third Proportional to 135,627.75 and 204,670.50

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Solution

The third proportional to 135,627.75 and 204,670.50 is: 308,860.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,627.75 : 204,670.50 = 204,670.50 : x
  2. Step 2: Convert to fraction form
    135,627.75/204,670.50 = 204,670.50/x
  3. Step 3: Cross multiply
    135,627.75x = 204,670.50 × 204,670.50
  4. Step 4: Simplify right side
    135,627.75x = 41,890,013,570.25
  5. Step 5: Solve for x
    x = 41,890,013,570.25/135,627.75
  6. Step 6: Final answer
    x = 308,860.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.