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Finding the Third Proportional to 170,482.50 and 267,438.75

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Solution

The third proportional to 170,482.50 and 267,438.75 is: 419,535.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,482.50 : 267,438.75 = 267,438.75 : x
  2. Step 2: Convert to fraction form
    170,482.50/267,438.75 = 267,438.75/x
  3. Step 3: Cross multiply
    170,482.50x = 267,438.75 × 267,438.75
  4. Step 4: Simplify right side
    170,482.50x = 71,523,485,001.56
  5. Step 5: Solve for x
    x = 71,523,485,001.56/170,482.50
  6. Step 6: Final answer
    x = 419,535.64

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.